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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…

Statistical Mechanics · Physics 2022-08-22 Thomas Veness , Kay Brandner

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…

Statistical Mechanics · Physics 2015-04-08 Dong E. Liu

We investigate the time-dependent, coherent, and dissipative dynamics of bound particles in single multilevel quantum dots in the presence of sequential tunnelling transport. We focus on the nonequilibrium regime where several channels are…

Mesoscale and Nanoscale Physics · Physics 2010-02-11 Eduardo Vaz , Jordan Kyriakidis

Using the functional-integral method, we investigate the effect of a two-level systems thermal reservoir on the single particle dynamics. We find that at low temperatures, within the sub-ohmic regime, the particle becomes {}``dynamically''…

Mesoscale and Nanoscale Physics · Physics 2007-07-17 A. Villares Ferrer , C. Morais Smith

We investigate the doping of a geometrically frustrated spin ladder with static holes by a complementary approach using exact diagonalization and quantum dimers. Results for thermodynamic properties, the singlet density of states, the…

Strongly Correlated Electrons · Physics 2010-01-20 George B. Martins , Wolfram Brenig

We demonstrate Floquet engineering in a basic yet scalable 2D architecture of individually trapped and controlled ions. Local parametric modulations of detuned trapping potentials steer the strength of long-range inter-ion couplings and the…

We critically reexamine the bosonization-debosonization procedure for systems including certain types of localized features (although more general scenarios are possible). By focusing on the case of a tunneling junction out of equilibrium,…

Strongly Correlated Electrons · Physics 2016-03-31 Nayana Shah , C. J. Bolech

We analyze the real-time dynamics of a quantum two-state system in the presence of nonequilibrium quantum fluctuations. The latter are generated by a coupling of the two-state system to a single electronic level of a quantum dot which…

Mesoscale and Nanoscale Physics · Physics 2016-12-20 Niklas Mann , Jochen Brüggemann , Michael Thorwart

Recent work has shown that a variety of novel phases of matter arise in periodically driven Floquet systems. Among these are many-body localized phases which spontaneously break global symmetries and exhibit novel multiplets of Floquet…

Disordered Systems and Neural Networks · Physics 2016-08-23 C. W. von Keyserlingk , Vedika Khemani , S. L. Sondhi

This article aims to investigate sufficient conditions for the stability of stochastic differential equations with a random structure, particularly in contexts involving the presence of concentration points. The proof of asymptotic…

Probability · Mathematics 2023-05-22 Taras Lukashiv , Igor V. Malyk , Maryna Chepeleva , Petr V. Nazarov

Electrons in a lattice exhibit time-periodic motion, known as Bloch oscillation, when subject to an additional static electric field. Here we show that a corresponding dynamics can occur upon replacing the spatially periodic potential by a…

Mesoscale and Nanoscale Physics · Physics 2020-04-08 Vanessa Junk , Phillipp Reck , Cosimo Gorini , Klaus Richter

The emergence of localised vibrations in cyclic and symmetric rotating structures, such as bladed disks of aircraft engines, has challenged engineers in the past few decades. In the linear regime, localised states may arise due to a lack of…

Pattern Formation and Solitons · Physics 2018-09-26 Filipe Fontanela , Aurelien Grolet , Loic Salles , Amin Chabchoub , Alan Champneys , Sophoclis Patsias , Norbert Hoffmann

Double well potentials offer the possibility of coherent state preparation and therefore constitute important building blocks in the analysis of quantum information and quantum engineering devices. Here we present a study of the coherent…

Statistical Mechanics · Physics 2020-03-03 Dominik Maile , Sabine Andergassen , Gianluca Rastelli

Bichromatic control, in terms of the amplitude and relative phase of the second field as control knobs, is an useful approach for controlling a variety of quantum processes. In this context, understanding the features of the control…

Chaotic Dynamics · Physics 2014-12-01 Archana Shukla , Srihari Keshavamurthy

We implement dynamical decoupling techniques to mitigate noise and enhance the lifetime of an entangled state that is formed in a superconducting flux qubit coupled to a microscopic two-level system. By rapidly changing the qubit's…

We investigate the dynamical properties of the XY spin 1/2 chain with infinite-range transverse interactions and find a dynamical phase transition with a chaotic dynamical phase. In the latter, we find non-vanishing finite-time Lyapunov…

Statistical Mechanics · Physics 2024-02-05 Bojan Žunkovič , Antonio Zegarra

We study temporally localized structures in doubly resonant degenerate optical parametric oscillators in the absence of temporal walk-off. We focus on states formed through the locking of domain walls between the zero and a non-zero…

Pattern Formation and Solitons · Physics 2021-02-26 P. Parra-Rivas , L. Gelens , F. Leo

The dynamic localization in energy space -- suppression of the absorption of energy from an external microwave field due to quantum interference -- was analyzed recently for a closed quantum dot in the absence of electron-electron…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 D. M. Basko

The evolution of particulate and multiphase systems can transition from dynamic regimes, governed by classical transport equations with well-defined damping coefficients, to anomalously slow relaxation described by rate equations when the…

Soft Condensed Matter · Physics 2025-08-20 Carlos E. Colosqui

We present an approach for efficiently simulating strongly damped quantum systems subjected to periodic driving, employing a periodic matrix product operator representation of the influence functional. This representation enables the…

Quantum Physics · Physics 2026-04-17 Konrad Mickiewicz , Valentin Link , Walter T. Strunz
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