scholarly journals Power-law tails and non-Markovian dynamics in open quantum systems: An exact solution from Keldysh field theory

2018 ◽  
Vol 97 (10) ◽  
Author(s):  
Ahana Chakraborty ◽  
Rajdeep Sensarma
Keyword(s):  
Field Theory ◽  
Exact Solution ◽  
Power Law ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Open Quantum ◽  
Markovian Dynamics

scholarly journals Shortcuts to Adiabaticity in Driven Open Quantum Systems: Balanced Gain and Loss and Non-Markovian Evolution

Quantum ◽  
2020 ◽  
Vol 4 ◽  
pp. 336 ◽  
Author(s):  
Sahar Alipour ◽  
Aurelia Chenu ◽  
Ali T. Rezakhani ◽  
Adolfo del Campo
Keyword(s):  
Open Quantum Systems ◽  
Quantum Systems ◽  
Quantum Oscillator ◽  
Quantum Processes ◽  
Open Quantum ◽  
Markovian Dynamics ◽  
Shortcuts To Adiabaticity ◽  
Speed Up ◽  
Gain And Loss ◽  
Universal Scheme

A universal scheme is introduced to speed up the dynamics of a driven open quantum system along a prescribed trajectory of interest. This framework generalizes counterdiabatic driving to open quantum processes. Shortcuts to adiabaticity designed in this fashion can be implemented in two alternative physical scenarios: one characterized by the presence of balanced gain and loss, the other involves non-Markovian dynamics with time-dependent Lindblad operators. As an illustration, we engineer superadiabatic cooling, heating, and isothermal strokes for a two-level system, and provide a protocol for the fast thermalization of a quantum oscillator.

scholarly journals Colloquium: Non-Markovian dynamics in open quantum systems

2016 ◽  
Vol 88 (2) ◽  
Author(s):  
Heinz-Peter Breuer ◽  
Elsi-Mari Laine ◽  
Jyrki Piilo ◽  
Bassano Vacchini
Keyword(s):  
Open Quantum Systems ◽  
Quantum Systems ◽  
Open Quantum ◽  
Markovian Dynamics

scholarly journals Quantum Maps with Memory from Generalized Lindblad Equation

Entropy ◽  
2021 ◽  
Vol 23 (5) ◽  
pp. 544
Author(s):  
Vasily E. Tarasov
Keyword(s):  
Discrete Time ◽  
Power Law ◽  
Quantum Dynamics ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Periodic Sequence ◽  
Lindblad Equation ◽  
Open Quantum ◽  
Systems With Memory ◽  
With Memory

In this paper, we proposed the exactly solvable model of non-Markovian dynamics of open quantum systems. This model describes open quantum systems with memory and periodic sequence of kicks by environment. To describe these systems, the Lindblad equation for quantum observable is generalized by taking into account power-law fading memory. Dynamics of open quantum systems with power-law memory are considered. The proposed generalized Lindblad equations describe non-Markovian quantum dynamics. The quantum dynamics with power-law memory are described by using integrations and differentiation of non-integer orders, as well as fractional calculus. An example of a quantum oscillator with linear friction and power-law memory is considered. In this paper, discrete-time quantum maps with memory, which are derived from generalized Lindblad equations without any approximations, are suggested. These maps exactly correspond to the generalized Lindblad equations, which are fractional differential equations with the Caputo derivatives of non-integer orders and periodic sequence of kicks that are represented by the Dirac delta-functions. The solution of these equations for coordinates and momenta are derived. The solutions of the generalized Lindblad equations for coordinate and momentum operators are obtained for open quantum systems with memory and kicks. Using these solutions, linear and nonlinear quantum discrete-time maps are derived.

scholarly journals Erratum: General Non-Markovian Dynamics of Open Quantum Systems [Phys. Rev. Lett. 109 , 170402 (2012)]

2017 ◽  
Vol 118 (5) ◽  
Author(s):  
Wei-Min Zhang ◽  
Ping-Yuan Lo ◽  
Heng-Na Xiong ◽  
Matisse Wei-Yuan Tu ◽  
Franco Nori
Keyword(s):  
Open Quantum Systems ◽  
Quantum Systems ◽  
Open Quantum ◽  
Markovian Dynamics

scholarly journals Comment on “General Non-Markovian Dynamics of Open Quantum Systems”

2015 ◽  
Vol 115 (16) ◽  
Author(s):  
Dara P. S. McCutcheon ◽  
Juan Pablo Paz ◽  
Augusto J. Roncaglia
Keyword(s):  
Open Quantum Systems ◽  
Quantum Systems ◽  
Open Quantum ◽  
Markovian Dynamics

scholarly journals Keldysh field theory for driven open quantum systems

2016 ◽  
Vol 79 (9) ◽  
pp. 096001 ◽  
Author(s):  
L M Sieberer ◽  
M Buchhold ◽  
S Diehl
Keyword(s):  
Field Theory ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Open Quantum
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