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We study a driven, spin-orbit coupled fermionic system in a lattice at the resonant regime where the drive frequency equals the Hubbard repulsion, for which non-trivial constrained dynamics emerge at fast timescales. An effective…

Quantum Physics · Physics 2019-10-02 Mikhail Mamaev , Itamar Kimchi , Michael A. Perlin , Rahul M. Nandkishore , Ana Maria Rey

We study the spectral statistics of interacting spinless fermions in a two-dimensional disordered lattice. Within a full quantum treatment for small few-particle-systems, we compute the low-energy many-body states numerically. While at weak…

Strongly Correlated Electrons · Physics 2009-11-10 Gabriel Vasseur , Dietmar Weinmann

In the presence of disorder, an interacting closed quantum system can undergo many-body localization (MBL) and fail to thermalize. However, over long times even weak couplings to any thermal environment will necessarily thermalize the…

By means of exact diagonalization, we investigate the onset of 'eigenstate thermalization' and the crossover to ergodicity in a system of 1D fermions with increasing interaction. We show that the fluctuations in the expectation values of…

Statistical Mechanics · Physics 2013-05-30 Clemens Neuenhahn , Florian Marquardt

We investigate many body localization in the presence of a single particle mobility edge. By considering an interacting deterministic model with an incommensurate potential in one dimension we find that the single particle mobility edge in…

Strongly Correlated Electrons · Physics 2015-10-29 Xiaopeng Li , Sriram Ganeshan , J. H. Pixley , S. Das Sarma

Many-body localization (MBL) addresses the absence of thermalization in interacting quantum systems, with non-ergodic high-energy eigenstates behaving as ground states, only area-law entangled. However, computing highly excited many-body…

Disordered Systems and Neural Networks · Physics 2019-01-23 Maxime Dupont , Nicolas Laflorencie

We consider disordered many-body systems with periodic time-dependent Hamiltonians in one spatial dimension. By studying the properties of the Floquet eigenstates, we identify two distinct phases: (i) a many-body localized (MBL) phase, in…

Disordered Systems and Neural Networks · Physics 2015-04-16 Pedro Ponte , Z. Papić , François Huveneers , Dmitry A. Abanin

We study the finite-energy density phase diagram of spinless fermions with attractive interactions in one dimension in the presence of uncorrelated diagonal disorder. Unlike the case of repulsive interactions, a delocalized Luttinger-liquid…

Strongly Correlated Electrons · Physics 2018-01-22 Sheng-Hsuan Lin , B. Sbierski , F. Dorfner , C. Karrasch , F. Heidrich-Meisner

A many-body localized (MBL) state is a new state of matter emerging in a disordered interacting system at high energy densities through a disorder driven dynamic phase transition. The nature of the phase transition and the evolution of the…

Strongly Correlated Electrons · Physics 2016-07-20 S. P. Lim , D. N. Sheng

Statistical mechanics provides a framework for describing the physics of large, complex many-body systems using only a few macroscopic parameters to determine the state of the system. For isolated quantum many-body systems, such a…

Disordered Systems and Neural Networks · Physics 2025-02-11 Piotr Sierant , Maciej Lewenstein , Antonello Scardicchio , Lev Vidmar , Jakub Zakrzewski

The ground-state properties of a few spin-1/2 fermions with different masses and interacting via short-range contact forces are studied within an exact diagonalization approach. It is shown that, depending on the shape of the external…

Quantum Gases · Physics 2016-10-21 Daniel Pęcak , Tomasz Sowiński

Some interacting disordered many-body systems are unable to thermalize when the quenched disorder becomes larger than a threshold value. Although several properties of nonzero energy density eigenstates (in the middle of the many-body…

Disordered Systems and Neural Networks · Physics 2020-09-09 Abhisek Samanta , Kedar Damle , Rajdeep Sensarma

We numerically study a Bose-Hubbard ring of finite size with disorder containing a finite number of bosons that are subject to an on-site two-body interaction. Our results show that moderate interactions induce dynamical thermalization in…

Quantum Gases · Physics 2016-01-27 Peter Schlagheck , Dima L. Shepelyansky

Isolated quantum many-body systems are often well-described by the eigenstate thermalization hypothesis. There are, however, mechanisms that cause different behavior: many-body localization and quantum many-body scars. Here, we show how one…

Disordered Systems and Neural Networks · Physics 2023-05-24 Michael Iversen , Anne E. B. Nielsen

We investigate how entangled states can be created by considering collections of point-particles arranged at different spatial configurations, i.e., Fock states with spatial constraints. This type of states can be realized in Hubbard chains…

Strongly Correlated Electrons · Physics 2020-05-27 Ioannis Kleftogiannis , Ilias Amanatidis

Entanglement and stabilizer entropy are both involved in the onset of complex behavior in quantum many-body systems. Their interplay is at the root of complexity of simulability, scrambling, thermalization and typicality. In this work, we…

Quantum Physics · Physics 2025-09-16 Jovan Odavić , Michele Viscardi , Alioscia Hamma

We probe the existence of a many-body localized phase (MBL-phase) in a spinless fermionic Hubbard chain with algebraically localized single-particle states, by investigating both static and dynamical properties of the system. This MBL-phase…

Disordered Systems and Neural Networks · Physics 2019-02-11 Giuseppe De Tomasi

Localization in one-dimensional interacting systems can be caused by disorder potentials or non-Hermiticity. The former phenomenon is the many-body localization (MBL), and the latter is the many-body non-Hermitian skin effect (NHSE). In…

Disordered Systems and Neural Networks · Physics 2023-08-14 Yi-Cheng Wang , Kuldeep Suthar , H. H. Jen , Yi-Ting Hsu , Jhih-Shih You

The exploration of large-scale many-body phenomena in quantum materials has produced many important experimental discoveries, including novel states of entanglement, topology and quantum order as found for example in quantum spin ices,…

Quantum Gases · Physics 2019-05-01 John Sous , Edward Grant

In presence of strong enough disorder one dimensional systems of interacting spinless fermions at non-zero filling factor are known to be in a many body localized phase. When represented in Fock space, the Hamiltonian of such a system looks…

Disordered Systems and Neural Networks · Physics 2019-05-01 Soumi Ghosh , Atithi Acharya , Subhayan Sahu , Subroto Mukerjee