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In this paper, we study the exact dynamics of open quantum systems to the case with periodic driving field. It is shown that different from the static adjustment of the system on-site energy that can either generate or destroy the…

Quantum Physics · Physics 2021-06-08 Fei-Lei Xiong , Wei-Min Zhang

The dynamics of a quantum mechanical particle in a time-independent potential are found to contain many interesting phenomena. These are direct consequences of the (typical) existence of more than one time scale governing the problem. This…

Quantum Physics · Physics 2007-05-23 Ross C. O'Connell

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…

Strongly Correlated Electrons · Physics 2016-02-23 Vieri Mastropietro

The elusive nature of localized integrals of motion (or l-bits) in disordered quantum systems lies at the core of some of their most prominent features, i.e. emergent integrability and lack of thermalization. Here, we study the quench…

Disordered Systems and Neural Networks · Physics 2021-06-18 Leonardo Benini , Piero Naldesi , Rudolf A. Römer , Tommaso Roscilde

Obtaining dynamics of an interacting quantum many-body system connected to multiple baths initially at different, finite, temperatures and chemical potentials is a challenging problem. This is due to a combination of the prevalence of…

Quantum Physics · Physics 2021-07-28 Archak Purkayastha , Giacomo Guarnieri , Steve Campbell , Javier Prior , John Goold

Does a closed quantum many-body system that is continually driven with a time-dependent Hamiltonian finally reach a steady state? This question has only recently been answered for driving protocols that are periodic in time, where the long…

Strongly Correlated Electrons · Physics 2017-08-24 Sourav Nandy , Arnab Sen , Diptiman Sen

We show that long-range ferromagnetic interactions in quantum spin chains can induce spatial quasi-localization of topological magnetic defects, i.e., domain-walls, even in the absence of quenched disorder. By means of matrix-product-states…

Quantum Gases · Physics 2019-04-03 Alessio Lerose , Bojan Zunkovic , Alessandro Silva , Andrea Gambassi

We review recent work on systems with multiple interacting-particles having the dynamical feature of stochastic resetting. The interplay of time scales related to inter-particle interactions and resetting leads to a rich behavior, both…

Statistical Mechanics · Physics 2023-07-05 Apoorva Nagar , Shamik Gupta

Periodically driven dynamics of open quantum systems is very interesting because typically non-equilibrium steady state is reached, which is characterized by a non-vanishing current. In this work, we study time discrete and periodically…

Quantum Physics · Physics 2021-07-19 Yong-Nan Sun , Kimmo Luoma , Zhao-Di Liu , Jyrki Piilo , Chuan-Feng Li , Guang-Can Guo

The theoretical treatment of quasi-periodically driven quantum systems is complicated by the inapplicability of the Floquet theorem, which requires strict periodicity. In this work we consider a quantum system driven by a bi-harmonic…

Statistical Mechanics · Physics 2018-06-26 David Cubero , Ferruccio Renzoni

Periodically driven systems are a common topic in modern physics. In optical lattices specifically, driving is at the origin of many interesting phenomena. However, energy is not conserved in driven systems, and under periodic driving,…

Statistical Mechanics · Physics 2017-11-27 Anton Quelle , Cristiane Morais Smith

An important and incompletely answered question is whether a closed quantum system of many interacting particles can be localized by disorder. The time evolution of simple (unentangled) initial states is studied numerically for a system of…

Strongly Correlated Electrons · Physics 2012-07-11 Jens H. Bardarson , Frank Pollmann , Joel E. Moore

We study the entanglement dynamics of discrete time quantum walks acting on bounded finite sized graphs. We demonstrate that, depending on system parameters, the dynamics may be monotonic, oscillatory but highly regular, or quasi-periodic.…

Quantum Physics · Physics 2012-03-07 Peter P. Rohde , Alessandro Fedrizzi , Timothy C. Ralph

We study the infinite temperature dynamics of a prototypical one-dimensional system expected to exhibit many-body localization. Using numerically exact methods, we establish the dynamical phase diagram of this system based on the statistics…

Disordered Systems and Neural Networks · Physics 2015-03-18 Yevgeny Bar Lev , Guy Cohen , David R. Reichman

The late-time equilibrium behavior of generic interacting models is determined by the coupled hydrodynamic equations associated with the globally conserved quantities. In the presence of an external time-dependent drive, non-integrable…

Strongly Correlated Electrons · Physics 2025-06-10 Haoyu Guo , Rohit Mukherjee , Debanjan Chowdhury

We study the dynamics of isolated interacting spin chains that are periodically driven by sudden quenches. Using full exact diagonalization of finite chains, we show that these systems exhibit three distinct regimes. For short driving…

Statistical Mechanics · Physics 2018-05-15 Luca D'Alessio , Marcos Rigol

An intriguing regime of universal charge transport at high entropy density has been proposed for periodically driven interacting one-dimensional systems with Bloch bands separated by a large single-particle band gap. For weak interactions,…

Quantum Gases · Physics 2022-03-03 Iliya Esin , Clemens Kuhlenkamp , Gil Refael , Erez Berg , Mark S. Rudner , Netanel H. Lindner

Dynamical localization is one of the most startling manifestations of quantum interference, where the evolution of a simple system is frozen out under a suitably tuned coherent periodic drive. Here, we show that, although any randomness in…

Statistical Mechanics · Physics 2015-03-17 Analabha Roy , Arnab Das

We present a theoretical method to generate a highly accurate {\em time-independent} Hamiltonian governing the finite-time behavior of a time-periodic system. The method exploits infinitesimal unitary transformation steps, from which…

Statistical Mechanics · Physics 2019-05-30 Michael Vogl , Pontus Laurell , Aaron D. Barr , Gregory A. Fiete

In this paper and its sequel, we study non-equilibrium dynamics in driven 1+1D conformal field theories (CFTs) with periodic, quasi-periodic, and random driving. We study a soluble family of drives in which the Hamiltonian only involves the…

Statistical Mechanics · Physics 2021-04-19 Xueda Wen , Ruihua Fan , Ashvin Vishwanath , Yingfei Gu