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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…

Quantum Gases · Physics 2017-05-24 Pranjal Bordia , Henrik Lüschen , Ulrich Schneider , Michael Knap , Immanuel Bloch

Hermitian Hamiltonians with time-periodic coefficients can be analyzed via Floquet theory, and have been extensively used for engineering Floquet Hamiltonians in standard quantum simulators. Generalized to non-Hermitian Hamiltonians,…

Quantum Physics · Physics 2024-02-16 Julia Cen , Yogesh N. Joglekar , Avadh Saxena

We address the issue of fluctuations, about an exponential lineshape, in a pair of one-dimensional kicked quantum systems exhibiting dynamical localization. An exact renormalization scheme establishes the fractal character of the…

chao-dyn · Physics 2009-10-31 Indubala I. Satija , Bala Sundaram , Jukka A. Ketoja

We study the unitary dynamics and the thermalization properties of free-fermion-like Hamiltonians after a sudden quantum quench, extending the results of S. Ziraldo et al. [Phys. Rev. Lett. 109, 247205 (2012)]. With analytical and numerical…

Disordered Systems and Neural Networks · Physics 2013-02-22 Simone Ziraldo , Giuseppe E. Santoro

Characterizing time-periodic Hamiltonians is pivotal for validating and controlling driven quantum platforms, yet prevailing and unadjusted reconstruction methods demand dense time-domain sampling and heavy post-processing. We introduce a…

Quantum Physics · Physics 2025-09-03 Keren Li

Much recent experimental effort has focused on the realization of exotic quantum states and dynamics predicted to occur in periodically driven systems. But how robust are the sought-after features, such as Floquet topological surface…

Quantum Gases · Physics 2019-01-16 Lukas M. Sieberer , Maria-Theresa Rieder , Mark H. Fischer , Ion C. Fulga

The formalism of continuous-time quantum walks on graphs has been widely used in the study of quantum transport of energy and information, as well as in the development of quantum algorithms. In experimental settings, however, there is…

Quantum Physics · Physics 2021-05-05 Leonardo Novo , Sofia Ribeiro

Periodically driven quantum systems exhibit many fascinating phenomena absent in equilibrium systems, but their simulation is more challenging than that of static systems. Consequently, quantum simulation of these systems offers greater…

Quantum Physics · Physics 2025-06-03 Abhishek Kumar , Karunya Shirali , Nicholas J. Mayhall , Sophia E. Economou , Edwin Barnes

Spin chains with quenched disorder exhibit rich critical behavior, often captured by real-space renormalization group (RSRG) techniques. However, the physics of such systems in the presence of random measurements (i.e., non-Hermitian…

Quantum Physics · Physics 2026-05-21 Siddharth Tiwary , Joel E. Moore

We introduce time-dependent density matrix renormalization group (tDMRG) as a solution to long standing problem in spintronics -- how to describe spin-transfer torque (STT) between flowing spins of conduction electrons and localized spins…

Strongly Correlated Electrons · Physics 2021-06-30 Marko D. Petrović , Priyanka Mondal , Adrian E. Feiguin , Petr Plecháč , Branislav K. Nikolić

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

We develop an excited-state real-space renormalization group (RSRG-X) formalism to describe the dynamics of conserved densities in randomly interacting spin-$\frac{1}{2}$ systems. Our formalism is suitable for systems with $\textrm{U}(1)$…

Disordered Systems and Neural Networks · Physics 2025-08-18 Yi J. Zhao , Samuel J. Garratt , Joel E. Moore

A fruitful avenue in investigating out-of-equilibrium quantum many-body systems is to abruptly change their Hamiltonian and study the subsequent evolution of their quantum state. If this is done once, the setup is called a quench, while if…

High Energy Physics - Theory · Physics 2024-04-12 Hanzhi Jiang , Márk Mezei

Floquet theory is a widely used framework to describe the dynamics of periodically-driven quantum systems. The usual set up to describe such kind of systems is to consider the effect of an external control with a definite period in time…

Quantum Physics · Physics 2025-10-10 V. M. Bastidas

Periodically driven quantum systems host exotic phenomena which often do not have any analog in undriven systems. Floquet prethermalization and dynamical freezing of certain observables, via the emergence of conservation laws, are realized…

Strongly Correlated Electrons · Physics 2024-02-19 Bhaskar Mukherjee , Ronald Melendrez , Marcin Szyniszewski , Hitesh J. Changlani , Arijeet Pal

Adiabatically varying the driving frequency of a periodically-driven many-body quantum system can induce controlled transitions between resonant eigenstates of the time-averaged Hamiltonian, corresponding to adiabatic transitions in the…

Strongly Correlated Electrons · Physics 2018-08-24 Pieter W. Claeys , Stijn De Baerdemacker , Omar El Araby , Jean-Sébastien Caux

We study dynamics of isolated quantum many-body systems under periodic driving. We consider a driving protocol in which the Hamiltonian is switched between two different operators periodically in time. The eigenvalue problem of the…

Disordered Systems and Neural Networks · Physics 2015-01-05 Pedro Ponte , Anushya Chandran , Z. Papić , Dmitry A. Abanin

The Ma-Dasgupta-Hu renormalization group (RG) scheme is used to study singular quantities in the Griffiths phase of random quantum spin chains. For the random transverse-field Ising spin chain we have extended Fisher's analytical solution…

Statistical Mechanics · Physics 2009-10-31 Ferenc Igloi , Robert Juhasz , Peter Lajko

We study if the interplay between dynamical localization and interactions in periodically driven quantum systems can give rise to anomalous thermalization behavior. Specifically, we consider one-dimensional models with interacting spinless…

Statistical Mechanics · Physics 2024-01-08 Sreemayee Aditya , Diptiman Sen

Floquet engineering, i.e. driving the system with periodic Hamiltonians, not only provides great flexibility in analog quantum simulation, but also supports phase structures of great richness. It has been proposed that Floquet systems can…

Quantum Physics · Physics 2021-08-03 Huikai Xu , Jingning Zhang , Jiaxiu Han , Zhiyuan Li , Guangming Xue , Weiyang Liu , Yirong Jin , Haifeng Yu