Physical Review Research最新文献_第4页

Quasi-boson approximation yields accurate correlation energy in the 2D electron gas 准玻色子近似在二维电子气中产生精确的相关能

Physical Review Research Pub Date : 2024-09-13 DOI: 10.1103/physrevresearch.6.033296

Tobias M. R. Wolf, Chunli Huang

{"title":"Quasi-boson approximation yields accurate correlation energy in the 2D electron gas","authors":"Tobias M. R. Wolf, Chunli Huang","doi":"10.1103/physrevresearch.6.033296","DOIUrl":"https://doi.org/10.1103/physrevresearch.6.033296","url":null,"abstract":"We report the successful adaptation of the quasi-boson approximation, a technique traditionally employed in nuclear physics, to the analysis of the two-dimensional electron gas. We show that the correlation energy estimated from this approximation agrees closely with the results obtained from quantum Monte Carlo simulations. Our methodology comprehensively incorporates the exchange self-energy, direct scattering, and exchange scattering for a particle-hole pair excited out of the mean-field ground state within the equation-of-motion framework. The linearization of the equation of motion leads to a generalized random phase approximation (gRPA) eigenvalue equation whose spectrum indicates that the plasmon dispersion remains unaffected by exchange effects, while the particle-hole continuum experiences a marked upward shift due to the exchange self-energy. Using the gRPA excitation spectrum, we calculate the zero-point energy of the quasi-boson Hamiltonian, thereby approximating the correlation energy of the original Hamiltonian. This research highlights the potential and effectiveness of applying the quasi-boson approximation to the gRPA spectrum, a fundamental technique in nuclear physics, to extended condensed matter systems.","PeriodicalId":20546,"journal":{"name":"Physical Review Research","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142211062","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}

引用次数: 0

Entanglement signature in quantum work statistics in the slow-driving regime 慢速驱动机制下量子功统计中的纠缠特征

Physical Review Research Pub Date : 2024-09-13 DOI: 10.1103/physrevresearch.6.033297

Jian Li, Mark T. Mitchison, Saulo V. Moreira

引用次数: 0

Scalable multiphoton generation from cavity-synchronized single-photon sources 利用空腔同步单光子源产生可扩展的多光子

Physical Review Research Pub Date : 2024-09-13 DOI: 10.1103/physrevresearch.6.033295

Ming Li, Juan José García-Ripoll, Tomás Ramos

引用次数: 0

Quantum-metric-induced quantum Hall conductance inversion and reentrant transition in fractional Chern insulators 分数切尔绝缘体中量子计量诱导的量子霍尔电导反转和重入转变

Physical Review Research Pub Date : 2024-09-12 DOI: 10.1103/physrevresearch.6.l032063

Ang-Kun Wu, Siddhartha Sarkar, Xiaohan Wan, Kai Sun, Shi-Zeng Lin

引用次数: 0

Squeezing-induced quantum-enhanced multiphase estimation 挤压诱导的量子增强多相估算

Physical Review Research Pub Date : 2024-09-12 DOI: 10.1103/physrevresearch.6.033292

Le Bin Ho

引用次数: 0

Power-law-exponential interaction induced quantum spiral phases 幂律-指数相互作用诱导的量子螺旋相位

Physical Review Research Pub Date : 2024-09-12 DOI: 10.1103/physrevresearch.6.033290

Guoqing Tian, Ying Wu, Xin-You Lü

引用次数: 0

Quantum chaos on edge 边缘量子混沌

Physical Review Research Pub Date : 2024-09-12 DOI: 10.1103/physrevresearch.6.033286

Alexander Altland, Kun Woo Kim, Tobias Micklitz, Maedeh Rezaei, Julian Sonner, Jacobus J. M. Verbaarschot

{"title":"Quantum chaos on edge","authors":"Alexander Altland, Kun Woo Kim, Tobias Micklitz, Maedeh Rezaei, Julian Sonner, Jacobus J. M. Verbaarschot","doi":"10.1103/physrevresearch.6.033286","DOIUrl":"https://doi.org/10.1103/physrevresearch.6.033286","url":null,"abstract":"Recently, the physics of many-body quantum chaotic systems close to their ground states has come under intensified scrutiny. Such studies are motivated by the emergence of model systems exhibiting chaotic fluctuations throughout the entire spectrum [the Sachdev-Ye-Kitaev (SYK) model being a renowned representative] as well as by the physics of holographic principles, which likewise unfold close to ground states. Interpreting the edge of the spectrum as a quantum critical point, here we combine a wide range of analytical and numerical methods to the identification and comprehensive description of two different universality classes: the near edge physics of “sparse” and the near edge of “dense” chaotic systems. The distinction lies in the ratio between the number of a system's random parameters and its Hilbert space dimension, which is exponentially small or algebraically small in the sparse and dense case, respectively. Notable representatives of the two classes are generic chaotic many-body models (sparse) and invariant random matrix ensembles or chaotic gravitational systems (dense). While the two families share identical spectral correlations at energy scales comparable to the level spacing, the density of states and its fluctuations near the edge are different. Considering the SYK model as a representative of the sparse class, we apply a combination of field theory and exact diagonalization to a detailed discussion of its edge spectrum. Conversely, Jackiw-Teitelboim gravity is our reference model for the dense class, where an analysis of the gravitational path integral and random matrix theory reveal universal differences to the sparse class, whose implications for the construction of holographic principles we discuss.","PeriodicalId":20546,"journal":{"name":"Physical Review Research","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142211072","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}

引用次数: 0

Magnetic control of Weyl nodes and wave packets in three-dimensional warped semimetals 三维翘曲半金属中 Weyl 节点和波包的磁控制

Physical Review Research Pub Date : 2024-09-12 DOI: 10.1103/physrevresearch.6.033289

Bruno Focassio, Gabriel R. Schleder, Adalberto Fazzio, Rodrigo B. Capaz, Pedro V. Lopes, Jaime Ferreira, Carsten Enderlein, Marcello B. Silva Neto

{"title":"Magnetic control of Weyl nodes and wave packets in three-dimensional warped semimetals","authors":"Bruno Focassio, Gabriel R. Schleder, Adalberto Fazzio, Rodrigo B. Capaz, Pedro V. Lopes, Jaime Ferreira, Carsten Enderlein, Marcello B. Silva Neto","doi":"10.1103/physrevresearch.6.033289","DOIUrl":"https://doi.org/10.1103/physrevresearch.6.033289","url":null,"abstract":"We investigate the topological phase transitions driven by band warping, <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>λ</mi></math>, and a transverse magnetic field, <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>B</mi></math>, for three-dimensional Weyl semimetals. First, we use the Chern number as a mathematical tool to derive the topological <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mi>λ</mi><mo>×</mo><mi>B</mi></mrow></math> phase diagram. Next, we associate each of the topological sectors to a given angular momentum state of a rotating wave packet. Then we show how the position of the Weyl nodes can be manipulated by a transverse external magnetic field that ultimately quenches the wave packet rotation, first partially and then completely, thus resulting in a sequence of field-induced topological phase transitions. Finally, we calculate the current-induced magnetization and the anomalous Hall conductivity of a prototypical warped Weyl material. Both observables reflect the topological transitions associated with the wave packet rotation and can help to identify the elusive 3D quantum anomalous Hall effect in three-dimensional, warped Weyl materials.","PeriodicalId":20546,"journal":{"name":"Physical Review Research","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142211069","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}

引用次数: 0

Measuring Trotter error and its application to precision-guaranteed Hamiltonian simulations 测量特罗特误差及其在精确保证哈密顿模拟中的应用

Physical Review Research Pub Date : 2024-09-12 DOI: 10.1103/physrevresearch.6.033285

Tatsuhiko N. Ikeda, Hideki Kono, Keisuke Fujii

{"title":"Measuring Trotter error and its application to precision-guaranteed Hamiltonian simulations","authors":"Tatsuhiko N. Ikeda, Hideki Kono, Keisuke Fujii","doi":"10.1103/physrevresearch.6.033285","DOIUrl":"https://doi.org/10.1103/physrevresearch.6.033285","url":null,"abstract":"Trotterization is the most common and convenient approximation method for Hamiltonian simulations on digital quantum computers, but estimating its error accurately is computationally difficult for large quantum systems. Here, we develop a method for measuring the Trotter error without ancillary qubits on quantum circuits by combining the <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mi>m</mi><mtext>th</mtext></mrow></math>- and <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mi>n</mi><mtext>th</mtext></mrow></math>-order (<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mi>m</mi><mo><</mo><mi>n</mi></mrow></math>) Trotterizations rather than consulting with mathematical error bounds. Using this method, we make Trotterization precision guaranteed, developing an algorithm named Trotter<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mo>(</mo><mi>m</mi><mo>,</mo><mi>n</mi><mo>)</mo></mrow></math>, in which the Trotter error at each time step is within an error tolerance <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>ε</mi></math> preset for our purpose. Trotter<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mo>(</mo><mi>m</mi><mo>,</mo><mi>n</mi><mo>)</mo></mrow></math> is applicable to both time-independent and -dependent Hamiltonians, and it adaptively chooses almost the largest step size <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mi>δ</mi><mi>t</mi></mrow></math>, which keeps quantum circuits shallowest, within the error tolerance. Benchmarking it in a quantum spin chain, we find the adaptively chosen <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mi>δ</mi><mi>t</mi></mrow></math> to be about 10 times larger than that inferred from known upper bounds of Trotter errors.","PeriodicalId":20546,"journal":{"name":"Physical Review Research","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142211073","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}

引用次数: 0

Parametrically enhancing sensor sensitivity at an exceptional point 在特殊点上参数化提高传感器灵敏度

Physical Review Research Pub Date : 2024-09-12 DOI: 10.1103/physrevresearch.6.033284

P. Djorwé, M. Asjad, Y. Pennec, D. Dutykh, B. Djafari-Rouhani

{"title":"Parametrically enhancing sensor sensitivity at an exceptional point","authors":"P. Djorwé, M. Asjad, Y. Pennec, D. Dutykh, B. Djafari-Rouhani","doi":"10.1103/physrevresearch.6.033284","DOIUrl":"https://doi.org/10.1103/physrevresearch.6.033284","url":null,"abstract":"We propose a scheme to enhance the sensitivity of non-Hermitian optomechanical mass sensors. The benchmark system consists of two coupled optomechanical systems where the mechanical resonators are mechanically coupled. The optical cavities are driven either by a blue-detuned or red-detuned laser to produce gain and loss, respectively. Moreover, the mechanical resonators are parametrically driven through the modulation of their spring constant. For a specific strength of the optical driving field and without parametric driving, the system features an exceptional point (EP). Any perturbation to the mechanical frequency (dissipation) induces a splitting (shifting) of the EP, which scales as the square root of the perturbation strength, resulting in a sensitivity-factor enhancement compared with conventional optomechanical sensors. The sensitivity enhancement induced by the shifting scenario is weak as compared to the one based on the splitting phenomenon. By switching on parametric driving, the sensitivity of both sensing schemes is greatly improved, yielding to a better performance of the sensor. We have also confirmed these results through an analysis of the output spectra and the transmissions of the optical cavities. In addition to enhancing EP sensitivity, our scheme also reveals nonlinear effects on sensing under splitting and shifting scenarios. This work sheds light on mechanisms of enhancing the sensitivity of non-Hermitian mass sensors, paving a way to improve sensors performance for better nanoparticles or pollutants detection and for water treatment.","PeriodicalId":20546,"journal":{"name":"Physical Review Research","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142211101","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}

引用次数: 0