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We consider Mott insulators driven by periodic coherent laser radiation, using both single orbital and multi-orbital models, noting that the latter is of more interest in solid state systems. We derive general expressions for the resulting…

Strongly Correlated Electrons · Physics 2019-05-15 Kasra Hejazi , Jianpeng Liu , Leon Balents

Experiments on periodically driven quantum systems have effectively realized quasi-Hamiltonians, in the sense of Floquet theory, that are otherwise inaccessible in static condensed matter systems. Although the Floquet quasi-Hamiltonians are…

Quantum Gases · Physics 2021-08-17 Etienne Wamba , Axel Pelster , James R. Anglin

We establish for the first time an exact stochastic dynamical equation for an open quantum systems coupled to correlated noises. We rigorously investigate the nonequilibrium dynamics of a qubit system under the influence of two strongly…

Quantum Physics · Physics 2015-02-16 Jun Jing , Rui Li , J. Q. You , Ting Yu

We rigorously investigate the quantum non-Markovian dissipative dynamics of a system coupled to a harmonic oscillator bath by deriving hierarchical Schrodinger equations of motion (HSEOM) and studying their dynamics. The HSEOM are the…

Quantum Physics · Physics 2018-07-11 Kiyoto Nakamura , Yoshitaka Tanimura

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

We have studied the effect of a non-Hermitian Bosonic bath on the dynamics of a two-level spin system. The non-Hermitian Hamiltonian of the bath is chosen such that it converges to the harmonic oscillator Hamiltonian when the…

Quantum Physics · Physics 2019-09-11 Sanjib Dey , Aswathy Raj , Sandeep K. Goyal

Prethermalization, where quasi-steady states are realized in the intermediate long time regime (prethermal regime), in periodically driven (Floquet) systems is an important phenomenon since it provides a platform of nontrivial Floquet…

Mesoscale and Nanoscale Physics · Physics 2019-08-14 Kaoru Mizuta , Kazuaki Takasan , Norio Kawakami

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

We develop a trajectory-based approach for excited-state molecular dynamics simulations of systems subject to an external periodic drive. We combine the exact-factorization formalism, allowing to treat electron-nuclear systems in…

Chemical Physics · Physics 2021-03-31 Marco Schirò , Florian G. Eich , Federica Agostini

The bosonic Josephson junction, one of the maximally simple models for periodic-driven many-body systems, has been intensively studied in the past two decades. Here, we revisit this problem with five different methods, all of which have…

Quantum Gases · Physics 2024-10-01 Xiaoshui Lin , Zeyu Rao , Ming Gong

We study the dynamics of a classical circuit corresponding to a discrete-time kinetically constrained East model. We show that this classical "Floquet-East" model displays pre-transition behaviour which is a dynamical equivalent of the…

Statistical Mechanics · Physics 2024-09-18 Katja Klobas , Cecilia De Fazio , Juan P. Garrahan

We present a low-space overhead simulation algorithm based on the truncated Dyson series for time-dependent quantum dynamics. This algorithm is applied to simulating time-independent Hamiltonians by transitioning to the interaction picture,…

Quantum Physics · Physics 2019-06-07 Guang Hao Low , Nathan Wiebe

Floquet engineering offers tantalizing opportunities for controlling the dynamics of quantum many body systems and realizing new nonequilibrium phases of matter. However, this approach faces a major challenge: generic interacting Floquet…

Mesoscale and Nanoscale Physics · Physics 2019-02-06 Karthik I. Seetharam , Charles-Edouard Bardyn , Netanel H. Lindner , Mark S. Rudner , Gil Refael

The dynamics of classical and quantum systems which are driven by a high frequency ($\omega$) field is investigated. For classical systems the motion is separated into a slow part and a fast part. The motion for the slow part is computed…

Chaotic Dynamics · Physics 2009-11-10 Saar Rahav , Ido Gilary , Shmuel Fishman

We investigate dynamics of a small quantum system open to a bath with thermostat. We introduce another bath, called super bath, weakly coupled with the bath to provide it with thermostat, which has either the Lindblad or Redfield type. We…

Quantum Physics · Physics 2024-04-25 Chulan Kwon , Ju-Yeon Gyhm

Many-body approaches to open quantum systems have recently become powerful tools for investigating the detailed role of dissipative environments in diverse non-equilibrium molecular and condensed matter processes. Here, we report the…

Mesoscale and Nanoscale Physics · Physics 2016-02-15 Florian A. Y. N. Schröder , Alex W. Chin

Floquet engineering in quantum simulation employs externally applied high-frequency pulses to dynamically design steady-state effective Hamiltonians. Such protocols can be used to enlarge the space of Hamiltonians but approximations often…

Quantum Physics · Physics 2025-12-29 Ryan Scott , Bryce Gadway , V. W. Scarola

Reliable quantum technology requires knowledge of the dynamics governing the underlying system. This problem of characterizing and benchmarking quantum devices or experiments in continuous time is referred to as the Hamiltonian learning…

Quantum Physics · Physics 2023-07-28 Tim Möbus , Andreas Bluhm , Matthias C. Caro , Albert H. Werner , Cambyse Rouzé

Near-resonant periodic driving of quantum systems promises the implementation of a large variety of novel effective Hamiltonians. The challenge of Floquet engineering lies in the preparation and measurement of the desired quantum state. We…

We study an integrable system that is reducible to free fermions by a Jordan-Wigner transformation which is subjected to a Fibonacci driving protocol based on two non-commuting Hamiltonians. In the high frequency limit $\omega \to \infty$,…

Statistical Mechanics · Physics 2020-05-05 Somnath Maity , Utso Bhattacharya , Amit Dutta , Diptiman Sen