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Floquet systems are governed by periodic, time-dependent, Hamiltonians. Prima facie they should absorb energy from the external drives involved in modulating their couplings and heat up to infinite temperature. However this unhappy state of…

Strongly Correlated Electrons · Physics 2022-10-05 Fenner Harper , Rahul Roy , Mark S. Rudner , S. L. Sondhi

We propose to combine the Floquet formalism for systems in ac fields with the dynamical mean-field theory to study correlated electron systems periodically driven out of equilibrium by external fields such as intense laser light. This…

Strongly Correlated Electrons · Physics 2009-01-23 Naoto Tsuji , Takashi Oka , Hideo Aoki

We give a systematic review of the adiabatic theorem and the leading non-adiabatic corrections in periodically-driven (Floquet) systems. These corrections have a two-fold origin: (i) conventional ones originating from the gradually changing…

Floquet engineering of isolated systems is often based on the concept of the effective time-independent Floquet Hamiltonian, which describes the stroboscopic evolution of a periodically driven quantum system in steps of the driving period…

Quantum Physics · Physics 2021-10-22 Alexander Schnell , Sergey Denisov , André Eckardt

This work provides a convenient and powerful means towards the engineering of Floquet bands via Bloch oscillations, by adding a tilted linear potential to periodically driven lattice systems. The added linear field not only restricts the…

Quantum Physics · Physics 2023-01-04 Xi Liu , Senmao Tan , Qing-hai Wang , Longwen Zhou , Jiangbin Gong

We construct a dynamical decoupling protocol for accurately generating local and global symmetries in general many-body systems. Multiple commuting and non-commuting symmetries can be created by means of a self-similar-in-time…

Statistical Mechanics · Physics 2020-09-29 Kartiek Agarwal , Ivar Martin

We show that a quantum many-body system may be controlled by means of Floquet engineering, i.e., their properties may be controlled and manipulated by employing periodic driving. We present a concrete driving scheme that allows control over…

Strongly Correlated Electrons · Physics 2018-08-22 Yuval Baum , Evert P. L. van Nieuwenburg , Gil Refael

Clean and interacting periodically driven quantum systems are believed to exhibit a single, trivial "infinite-temperature" Floquet-ergodic phase. In contrast, here we show that their disordered Floquet many-body localized counterparts can…

Disordered Systems and Neural Networks · Physics 2016-08-23 Vedika Khemani , Achilleas Lazarides , Roderich Moessner , S. L. Sondhi

Modeling composite systems of spins or electrons coupled to bosonic modes is of significant interest for many fields of applied quantum physics and chemistry. A quantum simulation can allow for the solution of quantum problems beyond…

The design of time-independent effective Hamiltonians that describe periodically modulated systems, provides a promising approach to realize new forms of matter. This, so-called, Floquet engineering approach is currently limited to the…

Mesoscale and Nanoscale Physics · Physics 2018-09-18 Huanan Li , Boris Shapiro , Tsampikos Kottos

A microscopic theory of optical transitions in quantum dots with carrier-phonon interaction is developed. Virtual transitions into higher confined states with acoustic phonon assistance add a quadratic phonon coupling to the standard linear…

Condensed Matter · Physics 2009-11-10 E. A. Muljarov , R. Zimmermann

This paper investigates the dynamical phases of Floquet Conformal Field Theories (CFTs) in space-time dimensions greater than two. Building upon our previous work [1] which introduced quaternionic representations for studying Floquet…

High Energy Physics - Theory · Physics 2026-02-17 Diptarka Das , Sumit R. Das , Arnab Kundu , Krishnendu Sengupta

We study the dissipative quantum Duffing oscillator in the deep quantum regime with two different approaches: The first is based on the exact Floquet states of the linear oscillator and the nonlinearity is treated perturbatively. It well…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Carmen Vierheilig , Milena Grifoni

Floquet engineering, in which the properties of a quantum system are modified through the application of strong periodic drives, is an indispensable tool in atomic and condensed matter systems. However, it is inevitably limited by intrinsic…

Quantum Physics · Physics 2026-02-05 Martin Ritter , David M. Long , Qianao Yue , Anushya Chandran , Alicia J. Kollár

Strong coupling of quantum emitters with confined electromagnetic modes of nanophotonic structures may be used to change optical, chemical and transport properties of materials, with significant theoretical effort invested towards a better…

Quantum Physics · Physics 2020-01-22 M. Sánchez-Barquilla , R. E. F. Silva , J. Feist

We study the dynamics and timescales of a periodically driven Fermi-Hubbard model in a three-dimensional hexagonal lattice. The evolution of the Floquet many-body state is analyzed by comparing it to an equivalent implementation in undriven…

We present a multi-timescale Quantum Averaging Theory (QAT), a unitarity-preserving generalized Floquet framework for analytically modeling periodically and almost-periodically driven quantum systems across multiple timescales. By…

Quantum Physics · Physics 2026-01-05 Kristian D. Barajas , Wesley C. Campbell

External driving is emerging as a promising tool for exploring new phases in quantum systems. The intrinsically non-equilibrium states that result, however, are challenging to describe and control. We study the steady states of a…

Mesoscale and Nanoscale Physics · Physics 2016-01-06 Karthik I. Seetharam , Charles-Edouard Bardyn , Netanel H. Lindner , Mark S. Rudner , Gil Refael

Time-dependent driving influences the quantum and thermodynamic fluctuations of a system, changing the familiar physical picture of electronic noise which is an important source of information the about microscopic mechanism of quantum…

Mesoscale and Nanoscale Physics · Physics 2020-11-25 Thomas D. Honeychurch , Daniel S. Kosov

Controlling the decoherence induced by the interaction of quantum system with its environment is a fundamental challenge in quantum technology. Utilizing Floquet theory, we explore the constructive role of temporal periodic driving in…

Quantum Physics · Physics 2015-05-28 Chong Chen , Jun-Hong An , Hong-Gang Luo , C. P. Sun , C. H. Oh