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Open driven quantum systems have defined a powerful paradigm of nonequilibrium phases and phase transitions; however, quantum phase transitions are generically not expected in this setting due to the decohering effect of dissipation. In…

Quantum Gases · Physics 2026-02-18 Mostafa Ali , Naushad A. Kamar , Alireza Seif , Mohammad Maghrebi

The manipulation of many-body systems often involves time-dependent forces that cause unwanted heating. One strategy to suppress heating is to use time-periodic (Floquet) forces at large driving frequencies. For quantum spin systems with…

Quantum Gases · Physics 2021-08-25 Emanuele G. Dalla Torre , David Dentelski

We present a numerical method to approximate the long-time asymptotic solution $\rho_\infty(t)$ to the Lindblad master equation for an open quantum system under the influence of an external drive. The proposed scheme uses perturbation…

Quantum Physics · Physics 2018-11-14 Brian Baker , Andy C. Y. Li , Nicholas Irons , Nathan Earnest , Jens Koch

Topological properties of physical systems can lead to robust behaviors that are insensitive to microscopic details. Such topologically robust phenomena are not limited to static systems but can also appear in driven quantum systems. In…

Mesoscale and Nanoscale Physics · Physics 2010-12-14 Takuya Kitagawa , Erez Berg , Mark Rudner , Eugene Demler

A many-body Wannier-Stark system coupled to an effective reservoir is studied within a non-Hermitian approach in the presence of a periodic driving. We show how the interplay of dissipation and driving dynamically induces a subspace of…

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…

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

The paper studies the structure of high-order adiabatic approximation of a wave function for slowly changing Hamiltonians. A constructive technique for explicit separation of fast and slow components of the wave function is developed. The…

Quantum Physics · Physics 2012-04-19 Alexei A. Mailybaev

The damped harmonic oscillator is a workhorse for the study of dissipation in quantum mechanics. However, despite its simplicity, this system has given rise to some approximations whose validity and relation to more refined descriptions…

Quantum Physics · Physics 2009-10-31 M. Rosenau da Costa , A. O. Caldeira , S. M. Dutra , H. Westfahl

We show that time-reflection symmetry in periodically driven (Floquet) quantum systems enables an inherently nonequilibrium phenomenon structurally similar to quantum-mechanical sypersymmetry. In particular, we find Floquet analogues of the…

Strongly Correlated Electrons · Physics 2018-05-30 Thomas Iadecola , Timothy H. Hsieh

The interaction of qubits with quantized modes of electromagnetic fields has been largely addressed in the quantum optics literature under the rotating wave approximation (RWA), where rapid oscillating terms in the qubit-mode interaction…

Quantum Physics · Physics 2017-06-06 P. C. Cárdenas , W. S. Teixeira , F. L. Semião

For sufficiently low reservoir temperatures, it is known that open quantum systems subject to decoherent interactions with the reservoir relax towards their ground state in the weak coupling limit. Within the framework of quantum master…

Quantum Physics · Physics 2010-01-07 Malte Vogl , Gernot Schaller , Tobias Brandes

We explore the dynamics and the steady state of a driven quantum spin coupled to a bath of fermions, which can be realized with a strongly imbalanced mixture of ultracold atoms using currently available experimental tools. Radio-frequency…

Quantum Gases · Physics 2014-01-06 Michael Knap , Dmitry A. Abanin , Eugene Demler

We explore prethermal Floquet steady states and instabilities of the weakly interacting two-dimensional Bose-Hubbard model subject to periodic driving. We develop a description of the nonequilibrium dynamics, at arbitrary drive strength and…

Quantum Gases · Physics 2015-11-17 Marin Bukov , Sarang Gopalakrishnan , Michael Knap , Eugene Demler

The present qubit technology, in particular in Josephson qubits, allows an unprecedented control of discrete energy levels. This motivates a new study of the old pump-probe problem, where a discrete quantum system is driven by a strong…

Quantum Physics · Physics 2013-05-01 Matti Silveri , Jani Tuorila , Mika Kemppainen , Erkki Thuneberg

We study the approach to the adiabatic limit in periodically driven systems. Specifically focusing on a spin-1/2 in a magnetic field we find that, when the parameters of the Hamiltonian lead to a quasi-degeneracy in the Floquet spectrum,…

Quantum Physics · Physics 2017-10-18 Angelo Russomanno , Giuseppe E. Santoro

Floquet states can be realized in quantum systems driven by continuous time-periodic perturbations. It is known that a state known as the Floquet Weyl semimetal can be realized when free Dirac fermions are placed in a rotating electric…

High Energy Physics - Theory · Physics 2017-08-23 Koji Hashimoto , Shunichiro Kinoshita , Keiju Murata , Takashi Oka

Time-periodic (Floquet) driving is a powerful way to control the dynamics of complex systems, which can be used to induce a plethora of new physical phenomena. However, when applied to many-body systems, Floquet driving can also cause…

Statistical Mechanics · Physics 2023-05-30 Wen Wei Ho , Takashi Mori , Dmitry A. Abanin , Emanuele G. Dalla Torre

We study the effect of time-periodically varying the hopping amplitude in a one-dimensional Bose-Hubbard model, such that its time-averaged value is zero. Employing Floquet theory, we derive a static effective Hamiltonian in which…

Quantum Gases · Physics 2018-08-03 Gregor Pieplow , Fernando Sols , Charles E. Creffield

We present an elementary, general, and semi-quantitative description of relaxation to gaussian and generalized Gibbs states in lattice models of fermions or bosons with quadratic hamiltonians. Our arguments apply to arbitrary initial states…

Statistical Mechanics · Physics 2019-08-07 Chaitanya Murthy , Mark Srednicki