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Quantum systems driven by a time-periodic field are a platform of condensed matter physics where effective (quasi)stationary states, termed "Floquet states", can emerge with external-field-dressed quasiparticles during driving. They appear,…

Quantum Physics · Physics 2023-10-27 Naoto Tsuji

We experimentally study the transient dynamics of a dissipative superconducting qubit under periodic drive towards its nonequilibrium steady states. The corresponding stroboscopic evolution, given by the qubit states at times equal to…

The stroboscopic evolution of a time-periodically driven isolated quantum system can always be described by an effective time-independent Hamiltonian. Whether this concept can be generalized to open Floquet systems, described by a Markovian…

Quantum Physics · Physics 2020-03-11 Alexander Schnell , André Eckardt , Sergey Denisov

Realistic quantum systems are affected by environmental loss, which is often seen as detrimental for applications in quantum technologies. Alternatively, weak coupling to an environment can aid in stabilizing highly entangled and mixed…

Quantum Physics · Physics 2025-03-14 Koray Aydoğan , Anthony W. Schlimgen , Kade Head-Marsden

Master equations in the Lindblad form describe evolution of open quantum systems that is completely positive and simultaneously has a semigroup property. We analyze a possibility to derive this type of master equations from an intrinsically…

Quantum Physics · Physics 2007-05-23 Mario Ziman , Peter Stelmachovic , Vladimir Buzek

Periodically driven systems have emerged as a useful technique to engineer the properties of quantum systems, and are in the process of being developed into a standard toolbox for quantum simulation. An outstanding challenge that leaves…

Quantum Physics · Physics 2024-10-24 Paul Manuel Schindler , Marin Bukov

Nonlinear classical dissipative systems present a rich phenomenology in their "route to chaos", including period-doubling, i.e. the system evolves with a period which is twice that of the driving. However, typically the attractor of a…

Quantum Physics · Physics 2018-02-07 Reuben R. W. Wang , Bo Xing , Gabriel G. Carlo , Dario Poletti

The dynamics described by the non-Hermitian Hamiltonian typically capture the short-term behavior of open quantum systems before quantum jumps occur. In contrast, the long-term dynamics, characterized by the Lindblad master equation (LME),…

Quantum Physics · Physics 2024-06-04 X. Z. Zhang

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

This article reviews theoretical methods for analyzing Floquet engineering (FE) phenomena in open (dissipative) quantum or classical systems, with an emphasis on our recent results. In many theoretical studies for FE in quantum systems,…

Strongly Correlated Electrons · Physics 2025-10-28 Masahiro Sato , Tatsuhiko N. Ikeda

Quantum technology resorts to efficient utilization of quantum resources to realize technique innovation. The systems are controlled such that their states follow the desired manners to realize different quantum protocols. However, the…

Quantum Physics · Physics 2021-01-13 Si-Yuan Bai , Chong Chen , Hong Wu , Jun-Hong An

In the thesis we present an analytic approach towards exact description for steady state density operators of nonequilibrium quantum dynamics in the framework of open systems. We employ the so-called quantum Markovian semi-group evolution,…

Quantum Physics · Physics 2014-10-07 Enej Ilievski

The Lindblad master equation is one of the main approaches to open quantum systems. While it has been widely applied in the context of condensed matter systems to study properties of steady states in the limit of long times, the actual…

Statistical Mechanics · Physics 2023-08-07 Tjark Heitmann , Jonas Richter , Jacek Herbrych , Jochen Gemmer , Robin Steinigeweg

We study the problem of calculating transport properties of interacting quantum systems, specifically electrical and thermal conductivities, by computing the non-equilibrium steady state (NESS) of the system biased by contacts. Our approach…

Strongly Correlated Electrons · Physics 2016-08-19 Raghu Mahajan , C. Daniel Freeman , Sam Mumford , Norm Tubman , Brian Swingle

We theoretically investigate basic properties of nonequilibrium steady states of periodically-driven open quantum systems based on the full solution of the Maxwell-Bloch equation. In a resonantly driving condition, we find that the…

Mesoscale and Nanoscale Physics · Physics 2020-12-02 S. A. Sato , U. De Giovannini , S. Aeschlimann , I. Gierz , H. Hübener , A. Rubio

In this paper, the mathematical framework providing a description of completely positive and trace preserving dynamics of open quantum systems is addressed. Special case of time-dependent Lindbladian governed by periodic Hamiltonian is…

Mathematical Physics · Physics 2014-08-06 Krzysztof Szczygielski

We consider a quantum system periodically driven with a strength which varies slowly on the scale of the driving period. The analysis is based on a general formulation of the Floquet theory relying on the extended Hilbert space. It is shown…

Quantum Gases · Physics 2017-02-22 Viktor Novičenko , Egidijus Anisimovas , Gediminas Juzeliūnas

We present a comprehensive theoretical framework for calculating the linear and nonlinear optical responses of time-periodic quantum systems. Using density matrix evolution in the Floquet basis and adopting the length gauge, our approach…

Materials Science · Physics 2025-03-10 S. Sajad Dabiri , Reza Asgari

We present a general method to calculate the quasi-stationary state of a driven-dissipative system coupled to a transmission line (and more generally, to a reservoir) under periodic modulation of its parameters. Using Floquet's theorem, we…

Quantum Physics · Physics 2018-06-14 Viktor Reimer , Kim G. L. Pedersen , Niklas Tanger , Mikhail Pletyukhov , Vladimir Gritsev

The study of open system dynamics is of paramount importance both from its fundamental aspects as well as from its potential applications in quantum technologies. In the simpler and most commonly studied case, the dynamics of the system can…

Quantum Physics · Physics 2026-01-26 Leonardo da Silva Souza , Fernando Iemini