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A method for stochastic unraveling of general time-local quantum master equations (QMEs) is proposed. The present kind of jump algorithm allows a numerically efficient treatment of QMEs which are not in Lindblad form, i.e. are not positive…

Chemical Physics · Physics 2007-05-23 Ivan Kondov , Ulrich Kleinekathoefer , Michael Schreiber

We present a theoretical formalism for resonance fluorescence radiating from a two-level system (TLS) driven by any periodic driving and coupled to multiple reservoirs. The formalism is derived analytically based on the combination of…

Quantum Physics · Physics 2016-06-22 Yiying Yan , Zhiguo Lü , Hang Zheng

Previous theoretical and experimental research has shown that current NISQ devices constitute powerful platforms for analogue quantum simulation. With the exquisite level of control offered by state-of-the-art quantum computers, we show…

Quantum Physics · Physics 2021-04-28 Daniel Malz , Adam Smith

We introduce and develop an approach to realizing a topological phase transition and non-Abelian statistics with dynamically induced Floquet Majorana Fermions (FMFs). When the periodic driving potential does not break fermion parity…

Mesoscale and Nanoscale Physics · Physics 2013-07-30 Dong E. Liu , Alex Levchenko , Harold U. Baranger

We present the Born-Markov approximated Redfield quantum master equation (RQME) description for an open system of non-interacting particles (bosons or fermions) on an arbitrary lattice of $N$ sites in any dimension and weakly connected to…

Statistical Mechanics · Physics 2016-06-16 Archak Purkayastha , Abhishek Dhar , Manas Kulkarni

Periodically driven quantum systems host exotic phenomena which often do not have any analog in undriven systems. Floquet prethermalization and dynamical freezing of certain observables, via the emergence of conservation laws, are realized…

Strongly Correlated Electrons · Physics 2024-02-19 Bhaskar Mukherjee , Ronald Melendrez , Marcin Szyniszewski , Hitesh J. Changlani , Arijeet Pal

Currents through quantum systems may probe non-analyticities in quantum-critical many-body ground states. For a large class of dissipative quantum critical systems we show that it is possible to obtain the reduced system dynamics in the…

Statistical Mechanics · Physics 2020-05-19 C. W. Wächtler , G. Schaller

We study the tunneling dynamics in a time-periodically modulated two-mode Bose-Hubbard model using Floquet theory. We consider situations where the system is in the self-trapping regime and either the tunneling amplitude, the interaction…

Quantum Gases · Physics 2012-05-22 Gentaro Watanabe , Harri Mäkelä

An important class of approaches to the description of electronic transport through molecules and quantum dots is based on the master equation. We discuss various formalisms for deriving a master equation and their interrelations. It is…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Carsten Timm

Floquet dynamical quantum phase transitions (FDQPTs) are signified by recurrent nonanalytic behaviors of observables in time. In this work, we introduce a quench-free and generic approach to engineer and control FDQPTs for both pure and…

Statistical Mechanics · Physics 2022-09-30 J. Naji , R. Jafari , Longwen Zhou , A. Langari

Ultracold atomic gas provides a useful tool to explore many-body physics. One of the recent additions to this experimental toolbox is the Floquet engineering, where periodic modulation of the Hamiltonian allows the creation of effective…

Floquet engineering, the control of quantum systems using periodic driving, is an old concept in condensed matter physics, dating back to ideas such as the inverse Faraday effect. There is a renewed interest in this concept owing to the…

Strongly Correlated Electrons · Physics 2018-12-20 Takashi Oka , Sota Kitamura

Employing the external degrees of freedom of atoms as synthetic dimensions renders easy and new accesses to quantum engineering and quantum simulation. As a recent development, ultracold atoms suffering from two-photon Bragg transitions can…

Quantum Gases · Physics 2020-09-22 Teng Xiao , Dizhou Xie , Wei Gou , and Tao Chen , Tian-Shu Deng , Wei Yi , Bo Yan

Within the Floquet theory of periodically driven quantum systems, we demonstrate that a high-frequency electromagnetic field can be used as an effective tool to control excitonic properties of semiconductor quantum dots (QDs). It is shown,…

Mesoscale and Nanoscale Physics · Physics 2022-04-14 I. V. Iorsh , D. A. Zezyulin , S. A. Kolodny , R. E. Sinitsky , O. V. Kibis

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

For a closed system with periodic driving, Floquet theorem tells that the time evolution operator can be written as $ U(t,0)\equiv P(t)e^{\frac{-i}{\hbar}H_F t}$ with $P(t+T)=P(t)$, and $H_F$ is Hermitian and time-independent called Floquet…

Quantum Physics · Physics 2016-11-28 C. M. Dai , Z. C. Shi , X. X. Yi

Time-periodic (Floquet) topological phases of matter exhibit bulk-edge relationships that are more complex than static topological insulators and superconductors. Finding the edge modes unique to driven systems usually requires numerics.…

Quantum Gases · Physics 2016-12-28 Indubala I. Satija , Erhai Zhao

The population transfer dynamics of model donor-bridge-acceptor systems is studied by comparing a recently developed polaron-transformed quantum master equation (PQME) with the well-known Redfield and Forster theories of quantum transport.…

Mesoscale and Nanoscale Physics · Physics 2015-08-12 Seogjoo Jang , Timothy C. Berkelbach , David R. Reichman

We study the role of driving in a two-level system evolving under the presence of a structured environment. We find that adding a periodical modulation to the two-level system can greatly enhance the survival of the geometric phase for many…

Quantum Physics · Physics 2020-05-27 Paula I. Villar , Alejandro Soba

A time-dependent periodical field can be utilized to efficiently modify the Rabi coupling of system, exhibiting nontrivial dynamics. We propose a scheme to show that this feature can be applied for speeding up the formation of dissipative…

Atomic Physics · Physics 2020-04-29 Rui Li , Dongmin Yu , Shi-Lei Su , Jing Qian