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We investigate a quantum Heisenberg model with both antiferromagnetic and disordered nearest-neighbor couplings. We use an extended dynamical mean-field approach, which reduces the lattice problem to a self-consistent local impurity problem…

Disordered Systems and Neural Networks · Physics 2009-11-13 S. Burdin , D. R. Grempel , M. Grilli

We study the properties of spin systems realized by cold polar molecules interacting via dipole-dipole interactions in two dimensions. Using a spin wave theory, that allows for the full treatment of the characteristic long-distance tail of…

Quantum Gases · Physics 2012-07-12 David Peter , Steffen Müller , Stefan Wessel , Hans Peter Büchler

We study the role of dipolar interactions in the standard protocol used to achieve dynamic nuclear polarization (DNP). In the so-called spin-temperature regime, where the interactions establish an effective thermodynamic behavior in the…

Strongly Correlated Electrons · Physics 2016-07-13 Andrea De Luca , Inés Rodríguez Arias , Markus Müller , Alberto Rosso

We study the dynamics of a one-dimensional spin-orbit coupled Schrodinger particle with two internal components moving in a random potential. We show that this model can be implemented by the interaction of cold atoms with external lasers…

Quantum Gases · Physics 2012-08-07 M. J. Edmonds , J. Otterbach , R. G. Unanyan , M. Fleischhauer , M. Titov , P. Ohberg

By molecular dynamics simulation, we have investigated classical Heisenberg spins, which are arrayed on a finite simple cubic lattice and interact with each other only by the dipole-dipole interaction, and have found its peculiar it…

Statistical Mechanics · Physics 2007-05-23 Katsuyoshi Matsushita , Ryoko Sugano , Akiyoshi Kuroda , Yusuke Tomita , Hajime Takayama

We present some recent results concerning the persistence of dynamical localization for disordered systems of n particles under weak interactions.

Mathematical Physics · Physics 2017-08-23 Michael Aizenman , Simone Warzel

The analytical solution of a many-body localization problem in a quantum Sherrington-Kirkpatrick spin glass model in a random longitudinal field is proposed matching the problem with a model of Anderson localization in a Bethe lattice. The…

Disordered Systems and Neural Networks · Physics 2017-08-02 Alexander L. Burin

We investigate spectral and dynamical localization of a quantum system of $ n $ particles on $ \mathbb{R}^d $ which are subject to a random potential and interact through a pair potential which may have infinite range. We establish two…

Mathematical Physics · Physics 2015-06-02 Michael Fauser , Simone Warzel

Local entanglement between pairs of spins, as measured by concurrence, is investigated in a disordered spin model that displays a transition from an ergodic to a many-body localized phase in excited states. It is shown that the concurrence…

Strongly Correlated Electrons · Physics 2016-04-13 Soumya Bera , Arul Lakshminarayan

We numerically study quantum avalanches in one-dimensional disordered spin systems by attaching two XXZ spin chains. One chain has low disorder representing a rare Griffith's region, or thermal inclusion, and the second has larger disorder,…

Disordered Systems and Neural Networks · Physics 2024-12-18 J. Clayton Peacock , Dries Sels

We investigate disordered one- and two-dimensional Heisenberg spin lattices across a transition from integrability to quantum chaos from both a statistical many-body and a quantum-information perspective. Special emphasis is devoted to…

Quantum Physics · Physics 2009-11-13 Winton G. Brown , Lea F. Santos , David J. Starling , Lorenza Viola

It is known that strong disorder in closed quantum systems leads to many-body localization (MBL), and that this quantum phase can be destroyed by coupling to an infinitely large Markovian environment. However, the stability of the MBL phase…

Disordered Systems and Neural Networks · Physics 2023-07-07 Shao-Hen Chiew , Jiangbin Gong , Leong-Chuan Kwek , Chee-Kong Lee

We propose a robust approach to spin squeezing with local interactions that approaches the Heisenberg limit of phase sensitivity. To generate the requisite entanglement, we generalize the paradigmatic two-axis countertwisting Hamiltonian --…

We conjecture that thermalization following a quantum quench in a strongly correlated quantum system is closely connected to many-body delocalization in the space of quasi-particles. This scenario is tested in the anisotropic Heisenberg…

Statistical Mechanics · Physics 2011-04-04 Elena Canovi , Davide Rossini , Rosario Fazio , Giuseppe E. Santoro , Alessandro Silva

We study a one-dimensional quantum system with an arbitrary number of hard-core particles on the lattice, which are subject to a deterministic attractive interaction as well as a random potential. Our choice of interaction is suggested by…

Mathematical Physics · Physics 2017-06-22 Vincent Beaud , Simone Warzel

We analyze the localization properties of the disordered Hubbard model in the presence of a synthetic magnetic field. An analysis of level spacing ratio shows a clear transition from ergodic to many-body localized phase. The transition…

Disordered Systems and Neural Networks · Physics 2021-01-08 Kuldeep Suthar , Piotr Sierant , Jakub Zakrzewski

We consider the random-field Heisenberg model, a paradigmatic model for many-body localization (MBL), and add a Markovian dephasing bath coupled to the Anderson orbitals of the model's non-interacting limit. We map this system to a…

Disordered Systems and Neural Networks · Physics 2021-12-15 Kai Klocke , Christopher David White , Michael Buchhold

The eigenstates of a quantum spin glass Hamiltonian with long-range interaction are examined from the point of view of localisation and entanglement. In particular, low particle sectors are examined and an anomalous family of eigenstates is…

Quantum Physics · Physics 2017-10-18 Arun Kannawadi , Auditya Sharma , Arul Lakshminarayan

This paper reviews recent advances in the study of strongly interacting systems of dipolar molecules. Heteronuclear molecules feature large and tunable electric dipole moments, which give rise to long-range and anisotropic dipole-dipole…

Quantum Gases · Physics 2016-07-14 Bryce Gadway , Bo Yan

Understanding quantum thermalization through entanglement build-up in isolated quantum systems addresses fundamental questions on how unitary dynamics connects to statistical physics. Here, we study the spin dynamics and approach towards…