scholarly journals General description for nonequilibrium steady states in periodically driven dissipative quantum systems

2020 ◽  
Vol 6 (27) ◽  
pp. eabb4019 ◽  
Author(s):  
Tatsuhiko N. Ikeda ◽  
Masahiro Sato
Keyword(s):  
Quantum Physics ◽  
Broad Class ◽  
Quantum Systems ◽  
Steady States ◽  
Dissipative Systems ◽  
Nonequilibrium Steady States ◽  
General Description ◽  
Periodically Driven ◽  
Symmetry Properties ◽  
Dissipative Quantum Systems

Laser technology has developed and accelerated photo-induced nonequilibrium physics, from both the scientific and engineering viewpoints. Floquet engineering, i.e., controlling material properties and functionalities by time-periodic drives, is at the forefront of quantum physics of light-matter interaction. However, it is limited to ideal dissipationless systems. Extending Floquet engineering to various materials requires understanding of the quantum states emerging in a balance of the periodic drive and energy dissipation. Here, we derive a general description for nonequilibrium steady states (NESSs) in periodically driven dissipative systems by focusing on systems under high-frequency drive and time-independent Lindblad-type dissipation. Our formula correctly describes the time average, fluctuation, and symmetry properties of the NESS, and can be computed efficiently in numerical calculations. This approach will play fundamental roles in Floquet engineering in a broad class of dissipative quantum systems from atoms and molecules to mesoscopic systems, and condensed matter.

scholarly journals Correlation-induced steady states and limit cycles in driven dissipative quantum systems

2020 ◽  
Vol 102 (6) ◽  
Author(s):  
Haggai Landa ◽  
Marco Schiró ◽  
Grégoire Misguich
Keyword(s):  
Limit Cycles ◽  
Quantum Systems ◽  
Steady States ◽  
Dissipative Quantum Systems

scholarly journals Nonequilibrium steady states in the Floquet-Lindblad systems: van Vleck's high-frequency expansion approach

2021 ◽  
Vol 4 (4) ◽  
Author(s):  
Tatsuhiko Ikeda ◽  
Koki Chinzei ◽  
Masahiro Sato
Keyword(s):  
High Frequency ◽  
Spin Chain ◽  
Gibbs State ◽  
Steady States ◽  
Nitrogen Vacancy ◽  
Nonequilibrium Steady States ◽  
Heisenberg Spin Chain ◽  
Periodically Driven ◽  
Boundary Dissipation ◽  
Active Research

Nonequilibrium steady states (NESSs) in periodically driven dissipative quantum systems are vital in Floquet engineering. We develop a general theory for high-frequency drives with Lindblad-type dissipation to characterize and analyze NESSs. This theory is based on the high-frequency (HF) expansion with linear algebraic numerics and without numerically solving the time evolution. Using this theory, we show that NESSs can deviate from the Floquet-Gibbs state depending on the dissipation type. We also show the validity and usefulness of the HF-expansion approach in concrete models for a diamond nitrogen-vacancy (NV) center, a kicked open XY spin chain with topological phase transition under boundary dissipation, and the Heisenberg spin chain in a circularly-polarized magnetic field under bulk dissipation. In particular, for the isotropic Heisenberg chain, we propose the dissipation-assisted terahertz (THz) inverse Faraday effect in quantum magnets. Our theoretical framework applies to various time-periodic Lindblad equations that are currently under active research.

scholarly journals Cloud Service for Numerical Calculations and Visualizations of Photonic Dissipative Systems

2017 ◽  
Vol 17 (5) ◽  
pp. 89-100
Author(s):  
Hayk Grigoryan ◽  
Hrachya Astsatryan ◽  
Tigran Gevorgyan ◽  
Vahe Manukyan
Keyword(s):  
Hilbert Space ◽  
Density Matrix ◽  
Time Evolution ◽  
Quantum Physics ◽  
Open Systems ◽  
Cloud Service ◽  
Quantum Systems ◽  
Distribution Functions ◽  
Numerical Calculations ◽  
Dissipative Systems

Abstract Nowadays quantum physics is crucial for several scientific applications, where it is no longer possible to neglect the environmental interaction, like dissipation and decoherence. In these cases, the quantum systems are usually treated as open systems and their time-evolution is described by a density matrix in frames of the master equation, instead of the Hilbert-space vector and the Schrodinger equation. The visualization of such quantum systems allows users to calculate and study the sensitivity of the parameters, like excitation photon numbers or photonnumber distribution functions or Wigner functions. In this paper, a cloud service for numerical calculations and visualization of photonic dissipative systems is presented, which enables numerical simulations and visualizations of a wide variety of Hamiltonians, including those with arbitrary time-dependences widely used in many physics applications. The service allows creating graphics and charts for interacting complex systems and simulating their time evolution with many available timeevolution drivers.

scholarly journals Landau theory for non-equilibrium steady states

2020 ◽  
Vol 8 (5) ◽  
Author(s):  
Camille Aron ◽  
Claudio Chamon
Keyword(s):  
Landau Theory ◽  
Mean Field ◽  
Continuous Phase ◽  
Steady States ◽  
Dissipative Systems ◽  
Driving Frequency ◽  
Periodically Driven ◽  
Single Bath ◽  
Different Temperatures ◽  
Non Equilibrium

We examine how non-equilibrium steady states close to a continuous phase transition can still be described by a Landau potential if one forgoes the assumption of analyticity. In a system simultaneously coupled to several baths at different temperatures, the non-analytic potential arises from the different density of states of the baths. In periodically driven-dissipative systems, the role of multiple baths is played by a single bath transferring energy at different harmonics of the driving frequency. The mean-field critical exponents become dependent on the low-energy features of the two most singular baths. We propose an extension beyond mean field.

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