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We present a theory of periodically driven, many-body localized (MBL) systems. We argue that MBL persists under periodic driving at high enough driving frequency: The Floquet operator (evolution operator over one driving period) can be…

无序系统与神经网络 · 物理学 2017-01-30 Dmitry Abanin , Wojciech De Roeck , François Huveneers

We propose a method to study the time evolution of correlated electrons driven by an harmonic perturbation. Combining Floquet formalism to include the time-dependent field and Cluster Perturbation Theory to solve the many-body problem in…

强关联电子 · 物理学 2016-10-19 M. Puviani , F. Manghi

The radiation-pressure interaction between one or more laser fields and a mechanical oscillator gives rise to a wide range of phenomena: from sideband cooling and backaction-evading measurements to pondermotive and mechanical squeezing to…

Recursion methods such as Krylov techniques map complex dynamics to an effective non-interacting problem in one dimension. For example, the operator Krylov space for Floquet dynamics can be mapped to the dynamics of an edge operator of the…

强关联电子 · 物理学 2025-03-05 Hsiu-Chung Yeh , Aditi Mitra

Using the parametrically driven harmonic oscillator as a working example, we study two different Markovian approaches to the quantum dynamics of a periodically driven system with dissipation. In the simpler approach, the driving enters the…

量子物理 · 物理学 2009-10-31 Sigmund Kohler , Thomas Dittrich , Peter Hänggi

We consider a system of two coupled oscillators one of which is driven parametrically and investigate both classical and quantum dynamics within Floquet description. Characteristic changes in the time evolution of the quantum fluctuations…

量子物理 · 物理学 2020-08-27 Sayak Biswas , S. Sinha

We explore the stability of certain many-body quantum states which may exist at zero or finite temperatures, may lack long-range order and even topological order, and still are thermodynamically distinct from uncorrelated disordered phases.…

强关联电子 · 物理学 2024-09-26 Predrag Nikolić

We study a chain of periodically driven Rydberg atoms and identify a class of drive protocols for which the system exhibits emergent prethermal Bethe integrability at special drive frequencies. We provide a perturbative analytic expression…

量子物理 · 物理学 2026-05-14 Saptadip Roy , Arnab Sen , Diptiman Sen , K. Sengupta

We combine the formalisms of Floquet theory and full counting statistics with a Markovian embedding strategy to access the dynamics and thermodynamics of a periodically driven thermal machine beyond the conventional Born-Markov…

量子物理 · 物理学 2018-06-18 Sebastian Restrepo , Javier Cerrillo , Philipp Strasberg , Gernot Schaller

We present a new time-dependent Density Functional approach to study the relaxational dynamics of an assembly of interacting particles subject to thermal noise. Starting from the Langevin stochastic equations of motion for the velocities of…

统计力学 · 物理学 2016-08-31 Umberto Marini Bettolo Marconi , Pedro Tarazona

In periodically driven (Floquet) systems, evolution typically results in an infinite-temperature thermal state due to continuous energy absorption over time. However, before reaching thermal equilibrium, such systems may transiently pass…

量子物理 · 物理学 2026-03-13 Kazuya Shinjo , Kazuhiro Seki , Tomonori Shirakawa , Rong-Yang Sun , Seiji Yunoki

We introduce a stochastic generalisation of the classical deterministic Floquet-East model, a discrete circuit with the same kinetic constraint as the East model of glasses. We prove exactly that, in the limit of long time and large size,…

统计力学 · 物理学 2025-01-29 Cecilia De Fazio , Juan P. Garrahan , Katja Klobas

We study a system of one-dimensional interacting quantum particles subjected to a time-periodic potential linear in space. After discussing the cases of driven one- and two-particles systems, we derive the analogous results for the…

统计力学 · 物理学 2020-09-16 Andrea Colcelli , Giuseppe Mussardo , German Sierra , Andrea Trombettoni

Recent works on observation of discrete time-crystalline signatures throw up major puzzles on the necessity of localization for stabilizing such out-of-equilibrium phases. Motivated by these studies, we delve into a clean interacting…

强关联电子 · 物理学 2021-01-04 H. Yarloo , A. Emami Kopaei , A. Langari

Cavity optomechanics and electromechanics form an established field of research investigating the interactions between electromagnetic fields and the motion of quantum mechanical resonators. In many applications, linearised form of the…

量子物理 · 物理学 2020-06-18 Iivari Pietikäinen , Ondřej Černotík , Radim Filip

In a periodically driven (Floquet) system, there is the possibility for new phases of matter, not present in stationary systems, protected by discrete time-translation symmetry. This includes topological phases protected in part by…

统计力学 · 物理学 2017-04-10 Dominic V. Else , Bela Bauer , Chetan Nayak

The precise control of complex quantum mechanical systems can unlock applications ranging from quantum simulation to quantum computation. Controlling strongly interacting many-body systems often relies on Floquet Hamiltonian engineering…

量子物理 · 物理学 2023-11-29 Andrew Stasiuk , Pai Peng , Garrett Heller , Paola Cappellaro

We show the emergence of Floquet time crystal (FTC) phases in the Floquet dynamics of periodically driven $p$-spin models, which describe a collection of spin-1/2 particles with all-to-all $p$-body interactions. Given the mean-field nature…

量子物理 · 物理学 2022-04-14 Manuel H. Muñoz-Arias , Karthik Chinni , Pablo M. Poggi

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…

量子物理 · 物理学 2025-09-03 Keren Li

We investigate the fate of a many-body localized phase in a non-Hermitian quasiperiodic model of hardcore bosons subjected to periodic driving. While in general, the many-body localized system is known to thermalize with increasing driving…

无序系统与神经网络 · 物理学 2025-09-19 Sanchayan Banerjee , Ayan Banerjee , Tapan Mishra , Flore K. Kunst