scholarly journals Complex Time Evolution of Open Quantum Systems

2011 ◽  
Vol 18 (03) ◽  
pp. 261-288
Author(s):  
C. N. Gagatsos ◽  
A. I. Karanikas ◽  
G. I. Kordas
Keyword(s):  
Time Evolution ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Compact Representation ◽  
Complex Time ◽  
Open Quantum ◽  
Time Formalism ◽  
Technical Details ◽  
Set Up ◽  
Reduced Density

We combine, in a single set-up, complex time parametrization in path integration, and closed time formalism of non-equilibrium field theories to produce a compact representation of time evolution of the reduced density matrix. In this framework we introduce a cluster-type expansion that facilitates perturbative and non-petrurbative calculations in the realm of open quantum systems. The technical details of some very simple examples are discussed.

scholarly journals An Invitation to Quantum Channels

Quanta ◽  
2018 ◽  
Vol 7 (1) ◽  
pp. 54 ◽  
Author(s):  
Vinayak Jagadish ◽  
Francesco Petruccione
Keyword(s):  
Time Evolution ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Active Area ◽  
Quantum Channels ◽  
Open Quantum ◽  
Potential Applications

Open quantum systems have become an active area of research, owing to its potential applications in many different fields ranging from computation to biology. Here, we review the formalism of dynamical maps used to represent the time evolution of open quantum systems and discuss the various representations and properties of the same, with many examples.Quanta 2018; 7: 54–67.

scholarly journals On non-Markovian Time Evolution in Open Quantum Systems

2007 ◽  
Vol 14 (03) ◽  
pp. 265-274 ◽  
Author(s):  
Andrzej Kossakowski ◽  
Rolando Rebolledo
Keyword(s):  
Time Evolution ◽  
Open System ◽  
Open Quantum Systems ◽  
Vacuum State ◽  
Quantum Systems ◽  
Initial State ◽  
Completely Positive ◽  
Open Quantum

Non-Markovian reduced dynamics of an open system is investigated. In the case when the initial state of the reservoir is the vacuum state, an approximation is introduced which makes it possible to construct a reduced dynamics which is completely positive.

Dynamics of Open Quantum Systems Using Parametric Representation with Coherent States

2013 ◽  
Vol 20 (03) ◽  
pp. 1340002 ◽  
Author(s):  
Dario Calvani ◽  
Alessandro Cuccoli ◽  
Nikitas I. Gidopoulos ◽  
Paola Verrucchi
Keyword(s):  
Coherent States ◽  
Degrees Of Freedom ◽  
Irreversible Process ◽  
Open Quantum Systems ◽  
Parametric Representation ◽  
Quantum Systems ◽  
Entanglement Generation ◽  
Open Quantum ◽  
Alternative Description ◽  
Reduced Density

Open quantum systems and their dynamics are usually studied in terms of reduced density matrices. This approach allows a nonsymmetric description, which is useful when one of the two subsystems is to be considered an environment, at the expense of a loss of information, as tracing out the environmental degrees of freedom is an irreversible process. This has a series of consequences which can be severe. In this work we present an alternative description, which is still nonsymmetric but yet exact: It is based on a parametric representation of composite systems, as obtained by introducing environmental coherent states, such that the principal system get to be described by a set of pure states parametrically dependent on environmental variables. The representation allows one to relate properties which typically arise in studying systems with parametrically dependent Hamiltonians, such as the emergence of geometrical phases, with features which specifically characterize open quantum systems, such as decoherence and entanglement generation.

scholarly journals Efficient method to generate time evolution of the Wigner function for open quantum systems

2015 ◽  
Vol 92 (4) ◽  
Author(s):  
Renan Cabrera ◽  
Denys I. Bondar ◽  
Kurt Jacobs ◽  
Herschel A. Rabitz
Keyword(s):  
Time Evolution ◽  
Wigner Function ◽  
Efficient Method ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Open Quantum

Time Evolution of Continuous Variable Entanglement in Open Quantum Systems

2010 ◽  
Author(s):  
Aurelian Isar ◽  
Livius Trache ◽  
Alexei Smirnov ◽  
Sabin Stoica
Keyword(s):  
Time Evolution ◽  
Open Quantum Systems ◽  
Continuous Variable ◽  
Quantum Systems ◽  
Open Quantum
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