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Three identical bosons: Properties in noninteger dimensions and in external fields 三个相同玻色子:非整数维和外场的性质
arXiv: Quantum Gases Pub Date : 2020-07-31 DOI: 10.1103/PhysRevResearch.2.033261
E. Garrido, A. Jensen
{"title":"Three identical bosons: Properties in noninteger dimensions and in external fields","authors":"E. Garrido, A. Jensen","doi":"10.1103/PhysRevResearch.2.033261","DOIUrl":"https://doi.org/10.1103/PhysRevResearch.2.033261","url":null,"abstract":"Three-body systems that are continuously squeezed from a three-dimensional (3D) space into a two-dimensional (2D) space are investigated. Such a squeezing can be obtained by means of an external confining potential acting along a single axis. However, this procedure can be numerically demanding, or even undoable, especially for large squeezed scenarios. An alternative is provided by use of the dimension $d$ as a parameter that changes continuously within the range $2leq d leq 3$. The simplicity of the $d$-calculations is exploited to investigate the evolution of three-body states after progressive confinement. The case of three identical spinless bosons with relative $s$-waves in 3D, and a harmonic oscillator squeezing potential is considered. We compare results from the two methods and provide a translation between them, relating dimension, squeezing length, and wave functions from both methods. All calculations are then possible entirely within the simpler $d$-method, but simultaneously providing the equivalent geometry with the external potential.","PeriodicalId":8838,"journal":{"name":"arXiv: Quantum Gases","volume":"50 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76790693","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: 3
Programmable Quantum Annealing Architectures with Ising Quantum Wires 使用Ising量子线的可编程量子退火架构
arXiv: Quantum Gases Pub Date : 2020-07-31 DOI: 10.1103/PRXQUANTUM.1.020311
Xingze Qiu, P. Zoller, Xiaopeng Li
{"title":"Programmable Quantum Annealing Architectures with Ising Quantum Wires","authors":"Xingze Qiu, P. Zoller, Xiaopeng Li","doi":"10.1103/PRXQUANTUM.1.020311","DOIUrl":"https://doi.org/10.1103/PRXQUANTUM.1.020311","url":null,"abstract":"Quantum annealing aims at solving optimization problems efficiently by preparing the ground state of an Ising spin-Hamiltonian quantum mechanically. A prerequisite of building a quantum annealer is the implementation of programmable long-range two-, three- or multi-spin Ising interactions. We discuss an architecture, where the required spin interactions are implemented via two-port, or in general multi-port quantum Ising wires connecting the spins of interest. This quantum annealing architecture of spins connected by Ising quantum wires can be realized by exploiting the three dimensional character of atomic platforms, including atoms in optical lattices and Rydberg tweezer arrays. The realization only requires engineering on-site terms and two-body interactions between nearest neighboring qubits. We illustrate the approach for few spin devices solving Max-Cut and prime factorization problems, and discuss the potential scaling to large atom based systems.","PeriodicalId":8838,"journal":{"name":"arXiv: Quantum Gases","volume":"144 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79929151","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: 31
Evidence of attraction between charge carriers in a doped Mott insulator 掺杂莫特绝缘体中载流子间吸引的证据
arXiv: Quantum Gases Pub Date : 2020-07-29 DOI: 10.1103/PHYSREVRESEARCH.3.013272
Emil Blomquist, J. Carlström
{"title":"Evidence of attraction between charge carriers in a doped Mott insulator","authors":"Emil Blomquist, J. Carlström","doi":"10.1103/PHYSREVRESEARCH.3.013272","DOIUrl":"https://doi.org/10.1103/PHYSREVRESEARCH.3.013272","url":null,"abstract":"Recent progress in optically trapped ultracold atomic gases is now making it possible to access microscopic observables in doped Mott insulators, which are the parent states of high-temperature superconductors. This makes it possible to address longstanding questions about the temperature scales at which attraction between charge carriers are present, and their mechanism. Controllable theoretical results for this problem are not available at low temperature due to the sign problem. In this work, we employ worm-algorithm Monte Carlo to obtain completely unbiased results for two charge carriers in a Mott insulator. Our method gives access to lower temperatures than what is currently possible in experiments, and provides evidence for attraction between dopants at a temperature scale that is now feasible in ultracold atomic systems. We also report on spin-correlations in the presence of charge carriers, which are directly comparable to experiments.","PeriodicalId":8838,"journal":{"name":"arXiv: Quantum Gases","volume":"25 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73066018","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: 2
Current production in ring condensates with a weak link 目前环凝析油生产存在薄弱环节
arXiv: Quantum Gases Pub Date : 2020-07-22 DOI: 10.1103/physreva.102.063302
Axel Pérez-Obiol, J. Polo, T. Cheon
{"title":"Current production in ring condensates with a weak link","authors":"Axel Pérez-Obiol, J. Polo, T. Cheon","doi":"10.1103/physreva.102.063302","DOIUrl":"https://doi.org/10.1103/physreva.102.063302","url":null,"abstract":"We consider attractive and repulsive condensates in a ring trap stirred by a weak link, and analyze the spectrum of solitonic trains dragged by the link, by means of analytical expressions for the wave functions, energies and currents. The precise evolution of current production and destruction in terms of defect formation in the ring and in terms of stirring is studied. We find that any excited state can be coupled to the ground state through two proposed methods: either by adiabatically tuning the link's strength and velocity through precise cycles which avoid the critical velocities and thus unstable regions, or by having the link still while setting an auxiliary potential and imprinting a nonlinear phase as the potential is turned off. We also analyze hysteresis cycles through the spectrum of energies and currents.","PeriodicalId":8838,"journal":{"name":"arXiv: Quantum Gases","volume":"68 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89312415","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: 3
Interaction-induced topological charge pump 相互作用诱导的拓扑电荷泵
arXiv: Quantum Gases Pub Date : 2020-07-22 DOI: 10.1103/PHYSREVRESEARCH.2.042024
Y. Kuno, Y. Hatsugai
{"title":"Interaction-induced topological charge pump","authors":"Y. Kuno, Y. Hatsugai","doi":"10.1103/PHYSREVRESEARCH.2.042024","DOIUrl":"https://doi.org/10.1103/PHYSREVRESEARCH.2.042024","url":null,"abstract":"Based on a topological transition of the symmetry protected topological phase (SPT), an interaction induced topological charge pump (iTCP) is proposed with the symmetry breaking parameter as a synthetic dimension. It implies that the phase boundary of the SPT is the topological obstruction although iTCP and the gap closing singularity is stable for symmetry breaking perturbations. We have confirmed the bulk-edge correspondence for this iTCP using DMRG for the Rice-Mele model with nearest-neighbor interactions. As for a realization in optical lattices, an interaction sweeping pump protocol is proposed as well.","PeriodicalId":8838,"journal":{"name":"arXiv: Quantum Gases","volume":"8 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78811547","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: 13
Bound states of an ultracold atom interacting with a set of stationary impurities 超冷原子与一组固定杂质相互作用的束缚态
arXiv: Quantum Gases Pub Date : 2020-07-20 DOI: 10.1103/physreva.102.063312
Marta Sroczy'nska, Z. Idziaszek
{"title":"Bound states of an ultracold atom interacting with a set of stationary impurities","authors":"Marta Sroczy'nska, Z. Idziaszek","doi":"10.1103/physreva.102.063312","DOIUrl":"https://doi.org/10.1103/physreva.102.063312","url":null,"abstract":"In this manuscript we analyse properties of bound states of an atom interacting with a set of static impurities. We begin with the simplest system of a single atom interacting with two static impurities. We consider two types of atom-impurity interaction: (i) zero-range potential represented by regularized delta, (ii) more realistic polarization potential, representing long-range part of the atom-ion interaction. For the former we obtain analytical results for energies of bound states. For the latter we perform numerical calculations based on the application of finite element method. Then, we move to the case of a single atom interacting with one-dimensional (1D) infinite chain of static ions. Such a setup resembles Kronig-Penney model of a 1D crystalline solid, where energy spectrum exhibits band structure behaviour. For this system, we derive analytical results for the band structure of bound states assuming regularized delta interaction, and perform numerical calculations, considering polarization potential to model atom-impurity interaction. Both approaches agree quite well when separation between impurities is much larger than characteristic range of the interaction potential.","PeriodicalId":8838,"journal":{"name":"arXiv: Quantum Gases","volume":"82 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86946692","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: 1
Measurement of a one-dimensional matter-wave quantum breather 一维物质波量子呼吸器的测量
arXiv: Quantum Gases Pub Date : 2020-07-16 DOI: 10.1103/physreva.102.063308
Piotr Staro'n, Andrzej Syrwid, K. Sacha
{"title":"Measurement of a one-dimensional matter-wave quantum breather","authors":"Piotr Staro'n, Andrzej Syrwid, K. Sacha","doi":"10.1103/physreva.102.063308","DOIUrl":"https://doi.org/10.1103/physreva.102.063308","url":null,"abstract":"Employing the Bethe ansatz approach and numerical simulations of measurements of particles' positions we investigate a post-quench many-body dynamics of attractively interacting bosons on a ring, which in the mean-field approach corresponds to the so-called breather solution. Despite the fact that the initial many-body ground state is translationally invariant, the measurements reveal breather dynamics if quantum fluctuations of the center of mass of the system are extracted. Moreover, the analysis of the many-body evolution shows signatures of dissociation of the solitons that form the breather.","PeriodicalId":8838,"journal":{"name":"arXiv: Quantum Gases","volume":"6 5 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83603048","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: 2
Phases and collective modes of bosons in a triangular lattice at finite temperature: A cluster mean field study 有限温度下三角形晶格中玻色子的相和集体模:一个簇平均场研究
arXiv: Quantum Gases Pub Date : 2020-07-13 DOI: 10.1103/physrevb.102.184515
M. Malakar, S. Ray, S. Sinha, D. Angom
{"title":"Phases and collective modes of bosons in a triangular lattice at finite temperature: A cluster mean field study","authors":"M. Malakar, S. Ray, S. Sinha, D. Angom","doi":"10.1103/physrevb.102.184515","DOIUrl":"https://doi.org/10.1103/physrevb.102.184515","url":null,"abstract":"Motivated by the realization of Bose-Einstein condensates (BEC) in non-cubic lattices, in this work we study the phases and collective excitation of bosons with nearest neighbor interaction in a triangular lattice at finite temperature, using mean field (MF) and cluster mean field (CMF) theory. We compute the finite temperature phase diagram both for hardcore and softcore bosons, as well analyze the effect of correlation arising due to lattice frustration and interaction systematically using CMF method. A semi-analytic estimate of the transition temperatures between different phases are derived within the framework of MF Landau theory, particularly for hardcore bosons. Apart from the usual phases such as density waves (DW) and superfluid (SF), we also characterize different supersolids (SS). These phases and their transitions at finite temperature are identified from the collective modes. The low lying excitations, particularly Goldstone and Higgs modes of the supersolid can be detected in the ongoing cold atom experiments.","PeriodicalId":8838,"journal":{"name":"arXiv: Quantum Gases","volume":"61 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89016641","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: 5
Density-dependent spin-orbit coupling in degenerate quantum gases 简并量子气体中密度依赖的自旋轨道耦合
arXiv: Quantum Gases Pub Date : 2020-07-12 DOI: 10.1103/PhysRevA.103.L061302
Peng Xu, Tian-Shu Deng, Wei-mou Zheng, H. Zhai
{"title":"Density-dependent spin-orbit coupling in degenerate quantum gases","authors":"Peng Xu, Tian-Shu Deng, Wei-mou Zheng, H. Zhai","doi":"10.1103/PhysRevA.103.L061302","DOIUrl":"https://doi.org/10.1103/PhysRevA.103.L061302","url":null,"abstract":"In this letter we propose a method to realize a kind of spin-orbit coupling in ultracold Bose and Fermi gases whose format and strength depend on density of atoms. Our method combines two-photon Raman transition and periodical modulation of spin-dependent interaction, which gives rise to the direct Raman process and the interaction assisted Raman process, and the latter depends on density of atoms. These two processes have opposite effects in term of spin-momentum locking and compete with each other. As the interaction modulation increases, the system undergoes a crossover from the direct Raman process dominated regime to the interaction assisted Raman process dominated regime. For this crossover, we show that for bosons, both the condensate momentum and the chirality of condensate wave function change sign, and for fermions, the Fermi surface distortion is inverted. We highlight that there exists an emergent spatial reflection symmetry in the crossover regime, which can manifest itself universally in both Bose and Fermi gases. Our method paves a way to novel phenomena in a non-abelian gauge field with intrinsic dynamics.","PeriodicalId":8838,"journal":{"name":"arXiv: Quantum Gases","volume":"16 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88179900","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: 2
Induced interactions and quench dynamics of bosonic impurities immersed in a Fermi sea 费米海中玻色子杂质的诱导相互作用与猝灭动力学
arXiv: Quantum Gases Pub Date : 2020-07-04 DOI: 10.1103/physreva.102.053317
K. Mukherjee, K. Mukherjee, S. Mistakidis, S. Majumder, P. Schmelcher
{"title":"Induced interactions and quench dynamics of bosonic impurities immersed in a Fermi sea","authors":"K. Mukherjee, K. Mukherjee, S. Mistakidis, S. Majumder, P. Schmelcher","doi":"10.1103/physreva.102.053317","DOIUrl":"https://doi.org/10.1103/physreva.102.053317","url":null,"abstract":"We unravel the ground state properties and the non-equilibrium quantum dynamics of two bosonic impurities immersed in an one-dimensional fermionic environment by applying a quench of the impurity-medium interaction strength. In the ground state, the impurities and the Fermi sea are phase-separated for strong impurity-medium repulsions while they experience a localization tendency around the trap center for large attractions. We demonstrate the presence of attractive induced interactions mediated by the host for impurity-medium couplings of either sign and analyze the competition between induced and direct interactions. Following a quench to repulsive interactions triggers a breathing motion in both components, with an interaction dependent frequency and amplitude for the impurities, and a dynamical phase-separation between the impurities and their surrounding for strong repulsions. For attractive post-quench couplings a beating pattern owing its existence to the dominant role of induced interactions takes place with both components showing a localization trend around the trap center. In both quench scenarios, attractive induced correlations are manifested between non-interacting impurities and are found to dominate the direct ones only for quenches to attractive couplings.","PeriodicalId":8838,"journal":{"name":"arXiv: Quantum Gases","volume":"29 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81310651","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: 9
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