Peter K. Morse, Paul J. Steinhardt, Salvatore Torquato
{"title":"Ordered and disordered stealthy hyperuniform point patterns across spatial dimensions","authors":"Peter K. Morse, Paul J. Steinhardt, Salvatore Torquato","doi":"10.1103/physrevresearch.6.033260","DOIUrl":"https://doi.org/10.1103/physrevresearch.6.033260","url":null,"abstract":"In previous work [<span>Phys. Rev. X</span> <b>5</b>, 021020 (2015)] it was shown that stealthy hyperuniform systems can be regarded as hard spheres in Fourier space in the sense that the structure factor is exactly zero in a spherical region around the origin in analogy with the pair-correlation function of real-space hard spheres. While this earlier work focused on spatial dimensions <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mi>d</mi><mo>=</mo><mn>1</mn><mo>–</mo><mn>4</mn></mrow></math>, here we extend the analysis to higher dimensions in order to make connections to high-dimensional sphere packings and the mean-field theory of glasses. We exploit this correspondence to confirm that the densest Fourier-space hard-sphere system is that of a Bravais lattice in contrast to real-space hard spheres, whose densest configuration is conjectured to be disordered. In passing, we give a concise form for the position of the first Bragg peak. We also extend the virial series previously suggested for disordered stealthy hyperuniform systems to higher dimensions in order to predict spatial decorrelation as a function of dimension. This prediction is then borne out by numerical simulations of disordered stealthy hyperuniform ground states in dimensions <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mi>d</mi><mo>=</mo><mn>2</mn><mo>–</mo><mn>8</mn></mrow></math>, which have only recently been made possible due to a highly parallelized algorithm.","PeriodicalId":20546,"journal":{"name":"Physical Review Research","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142211161","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Albert J. Pool, Alejandro D. Somoza, Conor Mc Keever, Michael Lubasch, Birger Horstmann
{"title":"Nonlinear dynamics as a ground-state solution on quantum computers","authors":"Albert J. Pool, Alejandro D. Somoza, Conor Mc Keever, Michael Lubasch, Birger Horstmann","doi":"10.1103/physrevresearch.6.033257","DOIUrl":"https://doi.org/10.1103/physrevresearch.6.033257","url":null,"abstract":"For the solution of time-dependent nonlinear differential equations, we present variational quantum algorithms (VQAs) that encode both space and time in qubit registers. The spacetime encoding enables us to obtain the entire time evolution from a single ground-state computation. We describe a general procedure to construct efficient quantum circuits for the cost function evaluation required by VQAs. To mitigate the barren plateau problem during the optimization, we propose an adaptive multigrid strategy. The approach is illustrated for the nonlinear Burgers equation. We classically optimize quantum circuits to represent the desired ground-state solutions, run them on IBM Q System One and Quantinuum System Model H1, and demonstrate that current quantum computers are capable of accurately reproducing the exact results.","PeriodicalId":20546,"journal":{"name":"Physical Review Research","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142211164","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Coherent population trapping for reservoir engineering and spin squeezing","authors":"Anying Feng, Jun Xu, Xiangming Hu","doi":"10.1103/physrevresearch.6.033256","DOIUrl":"https://doi.org/10.1103/physrevresearch.6.033256","url":null,"abstract":"Spin squeezing has important applications in the field of quantum metrology and quantum information processing. Here we propose that coherent population trapping is well suitable for establishing cavity dissipation mechanism and generating a spin-squeezed state. An ensemble of <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>N</mi></math> double <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi mathvariant=\"normal\">Λ</mi></math>-type atoms is placed inside the two-mode optical cavity, where one <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi mathvariant=\"normal\">Λ</mi></math> subsystem is driven resonantly by two strong control fields to form a dark resonance and the other <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi mathvariant=\"normal\">Λ</mi></math> subsystem is coupled by two cavity vacuum fields and two external fields with large detunings. Due to the dark resonance, the atoms are trapped in a dark state and one has the maximal coherence between the two ground states. Two double off-resonance stimulated Raman scattering interactions are induced between fields and dressed atoms to establish a dissipative quantum dynamical process based on a collective cavity reservoir. As a result, strong stable spin squeezing is generated, which is verified by our numerical and analytical results.","PeriodicalId":20546,"journal":{"name":"Physical Review Research","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142211166","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Local order metrics for many-particle systems across length scales","authors":"Charles Emmett Maher, Salvatore Torquato","doi":"10.1103/physrevresearch.6.033262","DOIUrl":"https://doi.org/10.1103/physrevresearch.6.033262","url":null,"abstract":"Formulating order metrics that sensitively quantify the degree of order/disorder in many-particle systems in <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>d</mi></math>-dimensional Euclidean space <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msup><mi mathvariant=\"double-struck\">R</mi><mi>d</mi></msup></math> across length scales is an outstanding challenge in physics, chemistry, and materials science. Since an infinite set of <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>n</mi></math>-particle correlation functions is required to fully characterize a system, one must settle for a reduced set of structural information, in practice. We initiate a program to use the local number variance <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><msubsup><mi>σ</mi><mi>N</mi><mn>2</mn></msubsup><mrow><mo>(</mo><mi>R</mi><mo>)</mo></mrow></mrow></math> associated with a spherical sampling window of radius <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>R</mi></math> (which encodes pair correlations) and an integral measure derived from it <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><msub><mi mathvariant=\"normal\">Σ</mi><mi>N</mi></msub><mrow><mo>(</mo><msub><mi>R</mi><mi>i</mi></msub><mo>,</mo><msub><mi>R</mi><mi>j</mi></msub><mo>)</mo></mrow></mrow></math> that depends on two specified radial distances <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub><mi>R</mi><mi>i</mi></msub></math> and <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub><mi>R</mi><mi>j</mi></msub></math>. Across the first three space dimensions (<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mi>d</mi><mo>=</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn></mrow></math>), we find these metrics can sensitively describe and categorize the degree of order/disorder of 41 different models of antihyperuniform, nonhyperuniform, disordered hyperuniform, and ordered hyperuniform many-particle systems at a specified length scale <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>R</mi></math>. Using our local variance metrics, we demonstrate the importance of assessing order/disorder with respect to a specific value of <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>R</mi></math>. These local order metrics could also aid in the inverse design of structures with prescribed length-scale-specific degrees of order/disorder that yield desired physical properties. In future work, it would be fruitful to explore the use of higher-order moments of the number of points within a spherical window of radius <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mi>R</mi></mrow></math> [S. Torquato <i>et al.</i>, <span>Phys. Rev. X</span> <b>11</b>, 021028 (2021)] to devise even more sensitive order metrics.","PeriodicalId":20546,"journal":{"name":"Physical Review Research","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142211160","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Eloy Piñol, Th. K. Mavrogordatos, Dustin Keys, Romain Veyron, Piotr Sierant, Miguel Angel García-March, Samuele Grandi, Morgan W. Mitchell, Jan Wehr, Maciej Lewenstein
{"title":"Telling different unravelings apart via nonlinear quantum-trajectory averages","authors":"Eloy Piñol, Th. K. Mavrogordatos, Dustin Keys, Romain Veyron, Piotr Sierant, Miguel Angel García-March, Samuele Grandi, Morgan W. Mitchell, Jan Wehr, Maciej Lewenstein","doi":"10.1103/physrevresearch.6.l032057","DOIUrl":"https://doi.org/10.1103/physrevresearch.6.l032057","url":null,"abstract":"The Gorini-Kossakowski-Sudarshan-Lindblad master equation (ME) governs the density matrix of open quantum systems (OQSs). When an OQS is subjected to weak continuous measurement, its state evolves as a stochastic quantum trajectory, whose statistical average solves the ME. The ensemble of such trajectories is termed an unraveling of the ME. We propose a method to operationally distinguish unravelings produced by the same ME in different measurement scenarios, using nonlinear averages of observables over trajectories. We apply the method to the paradigmatic quantum nonlinear system of resonance fluorescence in a two-level atom. We compare the Poisson-type unraveling, induced by direct detection of photons scattered from the two-level emitter, and the Wiener-type unraveling, induced by phase-sensitive detection of the emitted field. We show that a quantum-trajectory-averaged variance is able to distinguish these measurement scenarios. We evaluate the performance of the method, which can be readily extended to more complex OQSs, under a range of realistic experimental conditions.","PeriodicalId":20546,"journal":{"name":"Physical Review Research","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142211157","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Automatic structural search of tensor network states including entanglement renormalization","authors":"Ryo Watanabe, Hiroshi Ueda","doi":"10.1103/physrevresearch.6.033259","DOIUrl":"https://doi.org/10.1103/physrevresearch.6.033259","url":null,"abstract":"Tensor network (TN) states, including entanglement renormalization (ER), can encompass a wider variety of entangled states. When the entanglement structure of the quantum state of interest is nonuniform in real space, accurately representing the state with a limited number of degrees of freedom hinges on appropriately configuring the TN to align with the entanglement pattern. However, a proposal has yet to show a structural search of ER due to its high computational cost and the lack of flexibility in its algorithm. In this study, we conducted an optimal structural search of TN, including ER, based on the reconstruction of their local structures with respect to variational energy. First, we demonstrated that our algorithm for the spin-<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mn>1</mn><mo>/</mo><mn>2</mn></mrow></math> tetramer singlets model could calculate exact ground energy using the multiscale entanglement renormalization ansatz (MERA) structure as an initial TN structure. Subsequently, we applied our algorithm to the random XY models with the two initial structures: MERA and the suitable structure underlying the strong disordered renormalization group. We found that, in both cases, our algorithm achieves improvements in variational energy, fidelity, and entanglement entropy. The degree of improvement in these quantities is superior in the latter case compared to the former, suggesting that utilizing an existing TN design method as a preprocessing step is important for maximizing our algorithm's performance.","PeriodicalId":20546,"journal":{"name":"Physical Review Research","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142211165","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Nonadiabatic nonlinear non-Hermitian quantized pumping","authors":"Motohiko Ezawa, Natsuko Ishida, Yasutomo Ota, Satoshi Iwamoto","doi":"10.1103/physrevresearch.6.033258","DOIUrl":"https://doi.org/10.1103/physrevresearch.6.033258","url":null,"abstract":"We analyze a quantized pumping in a nonlinear non-Hermitian photonic system with nonadiabatic driving. The photonic system is made of a waveguide array, where the distances between adjacent waveguides are modulated. It is described by the Su-Schrieffer-Heeger model together with a saturated nonlinear gain term and a linear loss term. A topological interface state between the topological and the trivial phases is stabilized by the combination of a saturated nonlinear gain term and a linear loss term. We study the pumping of the topological interface state. We define the transfer-speed ratio <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mi>ω</mi><mo>/</mo><mi mathvariant=\"normal\">Ω</mi></mrow></math> by the ratio of the pumping speed <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>ω</mi></math> of the center of mass of the wave packet to the driving speed <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi mathvariant=\"normal\">Ω</mi></math> of the topological interface. It is quantized topologically as <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mi>ω</mi><mo>/</mo><mi mathvariant=\"normal\">Ω</mi><mo>=</mo><mn>1</mn></mrow></math> in the adiabatic limit. It remains to be quantized dynamically unless the driving is not too fast even in the nonadiabatic regime. On the other hand, the wave packet collapses and there is no quantized pumping when the driving is too fast. In addition, the stability against disorder is more enhanced by stronger nonlinearity.","PeriodicalId":20546,"journal":{"name":"Physical Review Research","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142211168","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"First-principles study of structural, electronic, and magnetic properties at the (0001)Cr2O3−(111)Pt interface","authors":"Marlies Reher, Nicola A. Spaldin, Sophie F. Weber","doi":"10.1103/physrevresearch.6.033263","DOIUrl":"https://doi.org/10.1103/physrevresearch.6.033263","url":null,"abstract":"We perform first-principles density functional calculations to elucidate structural, electronic, and magnetic properties at the interface of <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mrow><mo>(</mo><mn>0001</mn><mo>)</mo></mrow><mrow><msub><mi>Cr</mi><mn>2</mn></msub><msub><mi mathvariant=\"normal\">O</mi><mn>3</mn></msub></mrow><mo>−</mo><mrow><mo>(</mo><mn>111</mn><mo>)</mo></mrow><mi>Pt</mi></mrow></math> bilayers. This investigation is motivated by the fact that, despite the promise of <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><msub><mi>Cr</mi><mn>2</mn></msub><msub><mi mathvariant=\"normal\">O</mi><mn>3</mn></msub><mo>−</mo><mi>Pt</mi></mrow></math> heterostructures in a variety of antiferromagnetic spintronic applications, many key structural, electronic, and magnetic properties at the <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><msub><mi>Cr</mi><mn>2</mn></msub><msub><mi mathvariant=\"normal\">O</mi><mn>3</mn></msub><mo>−</mo><mi>Pt</mi></mrow></math> interface are poorly understood. We first analyze all inequivalent lateral interface alignments to determine the lowest energy interfacial structure. For all lateral alignments including the lowest energy one, we observe an accumulation of electrons at the interface between <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><msub><mi>Cr</mi><mn>2</mn></msub><msub><mi mathvariant=\"normal\">O</mi><mn>3</mn></msub></mrow></math> and Pt. We find an unexpected reversal of the magnetic moments of the interface Cr ions in the presence of Pt compared to surface Cr moments in vacuum-terminated <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mrow><mo>(</mo><mn>0001</mn><mo>)</mo></mrow><mrow><msub><mi>Cr</mi><mn>2</mn></msub><msub><mi mathvariant=\"normal\">O</mi><mn>3</mn></msub></mrow></mrow></math>. We also find that the heterostructure exhibits a magnetic proximity effect in the first three Pt layers at the interface with <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><msub><mi>Cr</mi><mn>2</mn></msub><msub><mi mathvariant=\"normal\">O</mi><mn>3</mn></msub></mrow></math>, providing a mechanism by which the anomalous Hall effect can occur in <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mrow><mo>(</mo><mn>0001</mn><mo>)</mo></mrow><mrow><msub><mi>Cr</mi><mn>2</mn></msub><msub><mi mathvariant=\"normal\">O</mi><mn>3</mn></msub></mrow><mo>−</mo><mrow><mo>(</mo><mn>111</mn><mo>)</mo></mrow><mi>Pt</mi></mrow></math> bilayers. Our results provide the basis for a more nuanced interpretation of magnetotransport experiments on <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mrow><mo>(</mo><mn>0001</mn><mo>)</mo></mrow><mrow><msub><mi>Cr</mi><mn>2</mn></msub><msub><mi mathvariant=\"normal\">O</mi><mn>3</mn></msub></mrow><mo>−</mo><mrow><mo>(</mo><mn>111</mn><mo>)</mo></mrow><mi>Pt</mi></mrow></math> bilayers and should inform future development of improved antiferromagnetic spintronic devices based on the <math xmlns=\"http://www.w3.org/1998/Math/Mat","PeriodicalId":20546,"journal":{"name":"Physical Review Research","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142211162","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Universal hyperuniformity in active field theories","authors":"Yuanjian Zheng, Michael A. Klatt, Hartmut Löwen","doi":"10.1103/physrevresearch.6.l032056","DOIUrl":"https://doi.org/10.1103/physrevresearch.6.l032056","url":null,"abstract":"We show that dry scalar-order active field theories (AFTs) are universally hyperuniform, i.e., density fluctuations are anomalously suppressed in the long-time limit regardless of the integrability or functional form of the active contributions up to third order in gradient terms. These AFTs include active model B, active model <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mi mathvariant=\"normal\">B</mi><mo>+</mo></mrow></math>, and effective Cahn-Hilliard models. Moreover, density variances and spectral densities are virtually indistinguishable from that of passive phase-separated hyperuniform fields. Higher moments of the density fluctuations, however, reveal activity-dependent higher-order correlations that are not captured by conventional two-point measures that characterize hyperuniformity.","PeriodicalId":20546,"journal":{"name":"Physical Review Research","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142211158","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
D. Sarenac, G. Gorbet, Charles W. Clark, D. G. Cory, H. Ekinci, M. E. Henderson, M. G. Huber, D. S. Hussey, C. Kapahi, P. A. Kienzle, Y. Kim, A. M. Long, J. D. Parker, T. Shinohara, F. Song, D. A. Pushin
{"title":"Phase and contrast moiré signatures in two-dimensional cone beam interferometry","authors":"D. Sarenac, G. Gorbet, Charles W. Clark, D. G. Cory, H. Ekinci, M. E. Henderson, M. G. Huber, D. S. Hussey, C. Kapahi, P. A. Kienzle, Y. Kim, A. M. Long, J. D. Parker, T. Shinohara, F. Song, D. A. Pushin","doi":"10.1103/physrevresearch.6.l032054","DOIUrl":"https://doi.org/10.1103/physrevresearch.6.l032054","url":null,"abstract":"Neutron interferometry has played a distinctive role in fundamental science and characterization of materials. Moiré neutron interferometers are candidate next-generation instruments: they offer microscopy-like magnification of the signal, enabling direct camera recording of interference patterns across the full neutron wavelength spectrum. Here we demonstrate the extension of phase-grating moiré interferometry to two-dimensional geometries. Our fork-dislocation phase gratings reveal phase singularities in the moiré pattern, and we explore orthogonal moiré patterns with two-dimensional phase gratings. Our measurements of phase topologies and gravitationally induced phase shifts are in good agreement with theory. These techniques can be implemented in existing neutron instruments to advance interferometric analyses of emerging materials and precision measurements of fundamental constants.","PeriodicalId":20546,"journal":{"name":"Physical Review Research","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142211170","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}