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We propose to observe many-body localization in cold atomic gases by realizing a Bose-Hubbard chain with binary disorder and studying its non-equilibrium dynamics. In particular, we show that measuring the difference in occupation between…

Disordered Systems and Neural Networks · Physics 2014-11-19 F. Andraschko , T. Enss , J. Sirker

Lattice gauge theory has provided a crucial non-perturbative method in studying canonical models in high-energy physics such as quantum chromodynamics. Among other models of lattice gauge theory, the lattice gauge-Higgs model is a quite…

Quantum Gases · Physics 2015-06-08 Yoshihito Kuno , Kenichi Kasamatsu , Yoshiro Takahashi , Ikuo Ichinose , Tetsuo Matsui

We show that the dynamics of interacting fermions can be exactly replaced by a quantum jump theory in the many-body density matrix space. In this theory, jumps occur between densities formed of pairs of Slater determinants, $D_{ab}=| \Phi_a…

Quantum Physics · Physics 2009-11-10 Denis Lacroix

Gauge theories describe the fundamental forces of nature. However, high-energy dynamics, such as the formation of quark-gluon plasmas, is notoriously difficult to model with classical methods. Quantum simulation offers a promising…

Simulating quantum dynamics of lattice gauge theories (LGTs) is an exciting frontier in quantum science. Programmable quantum simulators based on neutral atom arrays are a promising approach to achieve this goal, since strong Rydberg…

Quantum Physics · Physics 2024-08-07 Johannes Feldmeier , Nishad Maskara , Nazlı Uğur Köylüoğlu , Mikhail D. Lukin

In this work, we develop a self-consistent Hartree-Fock approach to theoretically study the far-from-equilibrium quantum dynamics of interacting fermions, and apply this approach to explore the onset of many-body localization (MBL) in these…

Disordered Systems and Neural Networks · Physics 2018-12-31 Simon A. Weidinger , Sarang Gopalakrishnan , Michael Knap

We introduce novel characterizations for many-body phase transitions between delocalized and localized phases based on the system's sensitivity to boundary conditions. In particular, we change boundary conditions from periodic to…

Strongly Correlated Electrons · Physics 2021-01-27 Mohammad Pouranvari , Shiuan-Fan Liou

A time-dependent multiconfigurational self-consistent field theory is presented to describe the many-body dynamics of a gas of identical bosonic atoms confined to an external trapping potential at zero temperature from first principles. A…

Other Condensed Matter · Physics 2007-10-16 David J. Masiello , William P. Reinhardt

Many-body localization is a dynamical phenomenon characteristic of strongly interacting and disordered many-body quantum systems which fail to achieve thermal equilibrium. From a quantum information perspective, the fingerprint of this…

When classical systems fail to explore their entire configurational space, intriguing macroscopic phenomena like aging and glass formation may emerge. Also closed quanto-mechanical systems may stop wandering freely around the whole Hilbert…

Statistical Mechanics · Physics 2012-02-07 Giuseppe Carleo , Federico Becca , Marco Schiró , Michele Fabrizio

For random quantum spin models, the strong disorder perturbative expansion of the Local Integrals of Motion (LIOMs) around the real-spin operators is revisited. The emphasis is on the links with other properties of the Many-Body-Localized…

Disordered Systems and Neural Networks · Physics 2018-05-01 Cecile Monthus

An analytical theory, based on the perturbative treatment of the disorder and extended into a self-consistent set of equations for the dynamical density correlations, is developed and applied to the prototype one-dimensional model of…

Strongly Correlated Electrons · Physics 2017-07-18 P. Prelovšek , J. Herbrych

We explore the finite-temperature dynamics of the quasi-1D orbital compass and plaquette Ising models. We map these systems onto a model of free fermions coupled to strictly localized spin-1/2 degrees of freedom. At finite temperature, the…

Strongly Correlated Electrons · Physics 2022-05-17 Oliver Hart , Sarang Gopalakrishnan , Claudio Castelnovo

We study the real-time dynamics of local occupation numbers in a one-dimensional model of spinless fermions with a random on-site potential for a certain class of initial states. The latter are thermal (mixed or pure) states of the model in…

Statistical Mechanics · Physics 2018-10-09 Jonas Richter , Jacek Herbrych , Robin Steinigeweg

Gauge theories, through the local symmetry which is in their core, exhibit many local constraints, that must be taken care of and addressed in any calculation. In the Hamiltonian picture this is phrased through the Gauss laws, local…

Quantum Physics · Physics 2019-07-18 Erez Zohar , J. Ignacio Cirac

Disorder-free localization has been recently introduced as a mechanism for ergodicity breaking in low-dimensional homogeneous lattice gauge theories caused by local constraints imposed by gauge invariance. We show that also genuinely…

Strongly Correlated Electrons · Physics 2021-04-07 P. Karpov , R. Verdel , Y. -P. Huang , M. Schmitt , M. Heyl

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…

Following the field theoretic approach of Basko et al., Ann. Phys. 321, 1126 (2006), we study in detail the real-time dynamics of a system expected to exhibit many-body localization. In particular, for time scales inaccessible to exact…

Disordered Systems and Neural Networks · Physics 2014-07-02 Yevgeny Bar Lev , David R. Reichman

We examine the dynamics of nearest-neighbor bipartite concurrence and total correlations in the spin-1/2 $XXZ$ model with random fields. We show, starting from factorized random initial states, that the concurrence can suffer entanglement…

Statistical Mechanics · Physics 2017-08-08 Steve Campbell , Matthew J. M. Power , Gabriele De Chiara

We numerically investigate the dynamics of entanglement in a chain of spinless fermions with nonrandom but long-range hopping and interactions, and with random on-site energies. For moderate disorder in the absence of interactions, the…

Disordered Systems and Neural Networks · Physics 2017-03-29 Rajeev Singh , Roderich Moessner , Dibyendu Roy