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Open quantum systems can display periodic dynamics at the classical level either due to external periodic modulations or to self-pulsing phenomena typically following a Hopf bifurcation. In both cases, the quantum fluctuations around…

量子物理 · 物理学 2021-02-24 C. Navarrete-Benlloch , R. Garcés , N. Mohseni , G. J. de Valcárcel

The performance of a wide range of quantum computing algorithms and protocols depends critically on the fidelity and speed of the employed qubit readout. Examples include gate sequences benefiting from mid-circuit, real-time,…

Many-mode Floquet theory [T.-S. Ho, S.-I. Chu, and J. V. Tietz, Chem. Phys. Lett., v. 96, 464 (1983)] is a technique for solving the time-dependent Schr\"odinger equation in the special case of multiple periodic fields, but its limitations…

量子物理 · 物理学 2020-04-01 A. N. Poertner , J. D. D. Martin

Quantum optimal control represents a powerful technique to enhance the performance of quantum experiments by engineering the controllable parameters of the Hamiltonian. However, the computational overhead for the necessary optimization of…

Scaling up superconducting quantum processors with optimized performance requires a sufficient flexibility in the choice of operating points for single and two qubit gates to maximize their fidelity and cope with imperfections. Flux control…

量子物理 · 物理学 2019-12-20 Nicolas Didier

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…

量子物理 · 物理学 2025-12-29 Ryan Scott , Bryce Gadway , V. W. Scarola

We present a Floquet scattering theory of electron waiting time distributions in periodically driven quantum conductors. We employ a second-quantized formulation that allows us to relate the waiting time distribution to the Floquet…

介观与纳米尺度物理 · 物理学 2014-04-10 David Dasenbrook , Christian Flindt , Markus Büttiker

Subjecting a physical system to a time-periodic drive can substantially modify its properties and applications. This Floquet-engineering approach has been extensively applied to a wide range of classical and quantum settings in view of…

光学 · 物理学 2023-11-21 Nathan Goldman

Floquet states have been subject of great research interest since Zel'dovich's pioneering work on the quasienergy of a quantum system subject to a temporally periodic action. Nowadays periodic modulation of the system Hamiltonian is mostly…

介观与纳米尺度物理 · 物理学 2019-01-30 I. V. Savochkin , A. K. Zvezdin , V. I. Belotelov

Over the past few years, topological insulators have taken center stage in solid state physics. The desire to tune the topological invariants of the bulk and thus control the number of edge states has steered theorists and experimentalists…

介观与纳米尺度物理 · 物理学 2014-10-01 J. K. Asboth , B. Tarasinski , P. Delplace

Floquet theory is an indispensable tool for analysing periodically-driven quantum many-body systems. Although it does not universally extend to classical systems, some of its methodologies can be adopted in the presence of well-separated…

统计力学 · 物理学 2022-08-22 Thomas Veness , Kay Brandner

We consider multiple-period states in systems of periodically modulated qubits. In such states the discrete time-translation symmetry imposed by the modulation is broken. We explicitly show how multiple-period states emerge in the simplest…

量子物理 · 物理学 2019-10-03 M. I. Dykman

We explore the impact of commensurate multifrequency driving protocols on the stability of topological edge modes in topological 1D systems of spinless fermions. Using Floquet theory, we show that all the topological phase transitions can…

强关联电子 · 物理学 2021-01-04 Paolo Molignini

Quantum error correction (QEC) protects quantum systems against inevitable noises and control inaccuracies, providing a pathway towards fault-tolerant (FT) quantum computation. Stabilizer codes, including surface code and color code, have…

For a periodically driven quantum system an effective time-independent Hamiltonian is derived with an eigen-energy spectrum, which in the regime of large driving frequencies approximates the quasi-energies of the corresponding Floquet…

量子气体 · 物理学 2015-05-19 Andreas Hemmerich

The Floquet-Magnus expansion is a widely used tool to derive effective descriptions of time-periodic quantum systems by approximating their dynamics with a time-independent Hamiltonian. However, its standard formulation is, strictly…

数学物理 · 物理学 2026-05-25 Daniel Burgarth , Robin Hillier , Davide Lonigro , Leonhard Richter

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…

强关联电子 · 物理学 2018-08-22 Yuval Baum , Evert P. L. van Nieuwenburg , Gil Refael

How to understand the order of Floquet stationary states in the presence of external bath coupling and their statistical mechanics is challenging; the answers are important for preparations and control of those Floquet states. Here, we…

统计力学 · 物理学 2015-04-08 Dong E. Liu

Quantum systems can show qualitatively new forms of behavior when they are driven by fast time-periodic modulations. In the limit of large driving frequency, the long-time dynamics of such systems can often be described by a…

量子气体 · 物理学 2015-04-01 N. Goldman , J. Dalibard , M. Aidelsburger , N. R. Cooper

Topological insulators represent unique phases of matter with insulating bulk and conducting edge or surface states, immune to small perturbations such as backscattering due to disorder. This stems from their peculiar band structure, which…

介观与纳米尺度物理 · 物理学 2013-10-01 Jérôme Cayssol , Balázs Dóra , Ferenc Simon , Roderich Moessner