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We study the dynamics and stability in a strongly interacting resonantly driven two-band model. Using exact numerical simulations, we find a stable regime at large driving frequencies where the time evolution is governed by a local Floquet…

Quantum Gases · Physics 2016-04-20 Marin Bukov , Markus Heyl , David A. Huse , Anatoli Polkovnikov

The implementation of time-evolution operators $U(t)$, called Hamiltonian simulation, is one of the most promising usage of quantum computers. For time-independent Hamiltonians, qubitization has recently established efficient realization of…

Quantum Physics · Physics 2023-03-29 Kaoru Mizuta , Keisuke Fujii

In this work, we study non-equilibrium dynamics in Floquet conformal field theories (CFTs) in 1+1D, in which the driving Hamiltonian involves the energy-momentum density spatially modulated by an arbitrary smooth function. This generalizes…

High Energy Physics - Theory · Physics 2021-03-03 Ruihua Fan , Yingfei Gu , Ashvin Vishwanath , Xueda Wen

In this work we discuss the existence of time-translation symmetry breaking in a kicked infinite-range-interacting clean spin system described by the Lipkin-Meshkov-Glick model. This Floquet time crystal is robust under perturbations of the…

Statistical Mechanics · Physics 2017-07-04 Angelo Russomanno , Fernando Iemini , Marcello Dalmonte , Rosario Fazio

We study the dynamics of the periodically driven Rydberg chain starting from the state with zero Rydberg excitations (vacuum state denoted by $|0\rangle$) using a square pulse protocol in the high drive amplitude limit. We show, using exact…

Strongly Correlated Electrons · Physics 2020-08-19 Bhaskar Mukherjee , Arnab Sen , Diptiman Sen , K. Sengupta

Dynamical random walk of classical particle in thermodynamically equilibrium fluctuating medium, - Gaussian random potential field, - is considered in the framework of explicit stochastic representation of deterministic interactions. We…

Statistical Mechanics · Physics 2013-02-05 Yu. E. Kuzovlev

Heat fluctuations over a time \tau in a non-equilibrium stationary state and in a transient state are studied for a simple system with deterministic and stochastic components: a Brownian particle dragged through a fluid by a harmonic…

Statistical Mechanics · Physics 2007-05-23 R. van Zon , E. G. D. Cohen

A tremendous amount of recent attention has focused on characterizing the dynamical properties of periodically driven many-body systems. Here, we use a novel numerical tool termed `density matrix truncation' (DMT) to investigate the…

Strongly Correlated Electrons · Physics 2021-02-23 Bingtian Ye , Francisco Machado , Christopher David White , Roger S. K. Mong , Norman Y. Yao

We introduce and study the discrete-time version of the Quantum East model, an interacting quantum spin chain inspired by simple kinetically constrained models of classical glasses. Previous work has established that its continuous-time…

Statistical Mechanics · Physics 2024-02-27 Bruno Bertini , Pavel Kos , Tomaz Prosen

Discrete time crystals (DTCs) are nonequilibrium phases of matter characterized by robust subharmonic order parameter dynamics. We report a new type of DTC in a periodically driven surface code, the subharmonic signature of which is only…

Quantum Physics · Physics 2021-08-04 Raditya Weda Bomantara

We analytically identify a new class of quantum scars protected by spatiotemporal translation symmetries, dubbed Floquet-Bloch scars. They distinguish from previous (quasi-)static scars by a rigid spectral pairing only possible in Floquet…

Quantum Gases · Physics 2022-09-20 Biao Huang , Tsz-Him Leung , Dan Stamper-Kurn , W. Vincent Liu

We pinpoint the conditions necessary for discrete time crystal (DTC) formation in fully connected spin-cavity systems from the perspective of parametric resonance by mapping these systems onto oscillator like models. We elucidate the role…

Quantum Physics · Physics 2024-04-18 Roy D. Jara , Dennis F. Salinel , Jayson G. Cosme

We characterize various dynamical phases of the simplest version of the quantum kicked top model, a paradigmatic system for studying quantum chaos, which exhibits both regular and chaotic behavior depending on the kick strength. In a…

Quantum Physics · Physics 2026-05-26 Subhashis Das , Vishal Khan , Atanu Rajak

Periodically driven quantum many-body systems can spontaneously break discrete time-translation symmetry, realizing discrete time crystals. To date, both experimental and theoretical efforts have largely focused on the simplest case of…

Floquet engineering, the control of a quantum system by means of time-periodic driving, allows to modify the properties of the system so that it becomes described by an approximate effective time-independent Hamiltonian. However, in the…

Quantum Gases · Physics 2026-04-03 Lorenz Wanckel , André Eckardt

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 study transient thermal processes in infinite harmonic crystals with complex (polyatomic) lattice. Initially particles have zero displacements and random velocities such that distribution of temperature is spatially uniform. Initial…

Statistical Mechanics · Physics 2019-06-24 Vitaly A. Kuzkin

Nonadiabatic Thouless pumping of electrons is studied within the framework of topological Floquet engineering, particularly focused on how atomic lattice dynamics affect the emergent Floquet topological phase in trans-polyacetylene under…

Materials Science · Physics 2025-06-16 Ruiyi Zhou , Yosuke Kanai

By means of a Floquet analysis, we study the quantum dynamics of a fully connected Lipkin-Ising ferromagnet in a periodically driven transverse field showing that thermalization in the steady state is intimately connected to properties of…

Statistical Mechanics · Physics 2015-08-31 Angelo Russomanno , Rosario Fazio , Giuseppe E. Santoro

A time crystal is a state of periodically driven matter which breaks discrete time translation symmetry. Time crystals have been demonstrated experimentally in various programmable quantum simulators and exemplify how non-equilibrium,…

Disordered Systems and Neural Networks · Physics 2023-03-21 Andrew Stasiuk , Paola Cappellaro
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