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Many-body localized systems in which interactions and disorder come together defy the expectations of quantum statistical mechanics: In contrast to ergodic systems, they do not thermalize when undergoing nonequilibrium dynamics. What is…

无序系统与神经网络 · 物理学 2020-01-29 K. S. C. Decker , D. M. Kennes , J. Eisert , C. Karrasch

We reinvestigate the behavior of the conductivity of several disordered quantum lattice models at infinite temperature using exact diagonalization. Contrary to the conclusion drawn in a recent investigation of similar quantities in…

无序系统与神经网络 · 物理学 2013-05-29 Timothy C. Berkelbach , David R. Reichman

Using the fractional moment method it is shown that, within the Hartree-Fock approximation for the Disordered Hubbard Hamiltonian, weakly interacting Fermions at positive temperature exhibit localization, suitably defined as exponential…

数学物理 · 物理学 2021-06-14 Rodrigo Matos , Jeffrey Schenker

I discuss whether localization in the two dimensional continuum can be stable in the presence of short range interactions. I conclude that, for an impurity model of disorder, if the system is prepared below a critical temperature $T < T_c$,…

统计力学 · 物理学 2014-12-02 Rahul Nandkishore

In the modern theory of polarization, polarization itself is given by a geometric phase. In calculations for interacting systems the polarization and its variance are obtained from the polarization amplitude. We interpret this quantity as a…

强关联电子 · 物理学 2019-02-20 Balázs Hetényi , Balázs Dóra

It is widely believed that many-body localisation in one dimension is fragile and can be easily destroyed by thermal inclusions, however there are still many open questions regarding the stability of the localised phase and under what…

无序系统与神经网络 · 物理学 2023-03-30 S. J. Thomson

We experimentally study a periodically driven many-body localized system realized by interacting fermions in a one-dimensional quasi-disordered optical lattice. By preparing the system in a far-from-equilibrium state and monitoring the…

量子气体 · 物理学 2017-05-24 Pranjal Bordia , Henrik Lüschen , Ulrich Schneider , Michael Knap , Immanuel Bloch

We report new accurate mesasurements of the mobility of excess electrons in high density Helium gas in extended ranges of temperature $[(26\leq T\leq 77) K ]$ and density $[ (0.05\leq N\leq 12.0) {atoms} \cdot {nm}^{-3}]$ to ascertain the…

等离子体物理 · 物理学 2016-09-08 A. F. Borghesani , M. Santini

We consider a many body fermionic system with an incommensurate external potential and a short range interaction in one dimension. We prove that, for certain densities and weak interactions, the zero temperature thermodynamical correlations…

强关联电子 · 物理学 2016-02-23 Vieri Mastropietro

We present a nonperturbative computation of the equation of state of polarized, attractively interacting, nonrelativistic fermions in one spatial dimension at finite temperature. We show results for the density, spin magnetization, magnetic…

量子气体 · 物理学 2015-12-08 A. C. Loheac , J. Braun , J. E. Drut , D. Roscher

A disordered system of interacting particles exhibits localized behavior when the disorder is large compared to the interaction strength. Studying this phenomenon on a quantum computer without error correction is challenging because even…

We use quantum information measures to study the local quantum phase transition that occurs for trapped spinless fermions in one-dimensional lattices. We focus on the case of a harmonic confinement. The transition occurs upon increasing the…

统计力学 · 物理学 2018-04-10 Yicheng Zhang , Lev Vidmar , Marcos Rigol

We use exact diagonalization to study the breakdown of many-body localization in a strongly disordered and interacting system coupled to a thermalizing environment. We show that the many-body level statistics cross over from Poisson to GOE,…

无序系统与神经网络 · 物理学 2015-03-25 Sonika Johri , Rahul Nandkishore , R. N. Bhatt

Many-body localized (MBL) systems lie outside the framework of statistical mechanics, as they fail to equilibrate under their own quantum dynamics. Even basic features of MBL systems such as their stability to thermal inclusions and the…

无序系统与神经网络 · 物理学 2018-02-27 Pedro Ponte , C. R. Laumann , David A. Huse , A. Chandran

Characterizing the delocalization transition in closed quantum systems with a many-body localized phase is a key open question in the field of nonequilibrium physics. We exploit that localization of particles as realized in Anderson and…

无序系统与神经网络 · 物理学 2021-12-17 Miroslav Hopjan , Giuliano Orso , Fabian Heidrich-Meisner

Motivated by the existence of metal-insulator transition in one-dimensional non-interacting fermions in quasiperiodic and pseudorandom potentials, we studied interacting spinless fermion models using exact many-body Lanczos diagonalization…

强关联电子 · 物理学 2009-10-30 J. C. Chaves , I. I. Satija

We theoretically investigate the many-body localization phase transition in a one-dimensional Ising spin chain with random long-range spin-spin interactions, $V_{ij}\propto\left|i-j\right|^{-\alpha}$, where the exponent of the interaction…

量子气体 · 物理学 2016-12-28 Haoyuan Li , Jia Wang , Xia-Ji Liu , Hui Hu

Understanding how closed quantum systems dynamically approach thermal equilibrium presents a major unresolved problem in statistical physics. Generically, non-integrable quantum systems are expected to thermalize as they comply with the…

In the presence of sufficiently strong disorder or quasiperiodic fields, an interacting many-body system can fail to thermalize and become many-body localized. The associated transition is of particular interest, since it occurs not only in…

Non-interacting fermions in one dimension can undergo a localization-delocalization transition in the presence of a quasi-periodic potential as a function of that potential. In the presence of interactions, this transition transforms into a…

无序系统与神经网络 · 物理学 2018-03-28 Ranjan Modak , Soumi Ghosh , Subroto Mukerjee