scholarly journals Effective Dynamics of Disordered Quantum Systems

2016 ◽  
Vol 6 (3) ◽  
Author(s):  
Chahan M. Kropf ◽  
Clemens Gneiting ◽  
Andreas Buchleitner
Keyword(s):  
Quantum Systems ◽  
Effective Dynamics

scholarly journals Perturbation Analysis of Quantum Reset Models

2021 ◽  
Vol 183 (1) ◽  
Author(s):  
Géraldine Haack ◽  
Alain Joye
Keyword(s):  
Steady State ◽  
Perturbation Analysis ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Markov Semigroup ◽  
Coupling Constant ◽  
Coupling Term ◽  
Open Quantum ◽  
Effective Dynamics ◽  
A Chain

AbstractThis paper is devoted to the analysis of Lindblad operators of Quantum Reset Models, describing the effective dynamics of tri-partite quantum systems subject to stochastic resets. We consider a chain of three independent subsystems, coupled by a Hamiltonian term. The two subsystems at each end of the chain are driven, independently from each other, by a reset Lindbladian, while the center system is driven by a Hamiltonian. Under generic assumptions on the coupling term, we prove the existence of a unique steady state for the perturbed reset Lindbladian, analytic in the coupling constant. We further analyze the large times dynamics of the corresponding CPTP Markov semigroup that describes the approach to the steady state. We illustrate these results with concrete examples corresponding to realistic open quantum systems.

scholarly journals Local effective dynamics of quantum systems: A generalized approach to work and heat

2008 ◽  
Vol 83 (3) ◽  
pp. 30008 ◽  
Author(s):  
H. Weimer ◽  
M. J. Henrich ◽  
F. Rempp ◽  
H. Schröder ◽  
G. Mahler
Keyword(s):  
Quantum Systems ◽  
Effective Dynamics

scholarly journals Generic nature of asymptotic completeness in dissipative scattering theory

2020 ◽  
pp. 2060001
Author(s):  
Jérémy Faupin
Keyword(s):  
Scattering Theory ◽  
Optical Model ◽  
Asymptotic Completeness ◽  
Quantum Systems ◽  
The Self ◽  
Wave Operators ◽  
Effective Dynamics ◽  
Long Time ◽  
Dissipative Quantum Systems ◽  
Pure States

We review recent results obtained in the scattering theory of dissipative quantum systems representing the long-time evolution of a system [Formula: see text] interacting with another system [Formula: see text] and susceptible of being absorbed by [Formula: see text]. The effective dynamics of [Formula: see text] is generated by an operator of the form [Formula: see text] on the Hilbert space of the pure states of [Formula: see text], where [Formula: see text] is the self-adjoint generator of the free dynamics of [Formula: see text], [Formula: see text] is symmetric and [Formula: see text] is bounded. The main example is a neutron interacting with a nucleus in the nuclear optical model. We recall the basic objects of the scattering theory for the pair [Formula: see text], as well as the results, proven in [10, 11], on the spectral singularities of [Formula: see text] and the asymptotic completeness of the wave operators. Next, for the nuclear optical model, we show that asymptotic completeness generically holds.

Coherent population trapping in quantum systems

1993 ◽  
Vol 163 (9) ◽  
pp. 1 ◽  
Author(s):  
B.D. Agap'ev ◽  
M.B. Gornyi ◽  
B.G. Matisov ◽  
Yu.V. Rozhdestvenskii
Keyword(s):  
Quantum Systems ◽  
Coherent Population Trapping ◽  
Population Trapping

Relaxation of interacting open quantum systems

2018 ◽  
Vol 189 (05) ◽  
Author(s):  
Vladislav Yu. Shishkov ◽  
Evgenii S. Andrianov ◽  
Aleksandr A. Pukhov ◽  
Aleksei P. Vinogradov ◽  
A.A. Lisyansky
Keyword(s):  
Open Quantum Systems ◽  
Quantum Systems ◽  
Open Quantum

Entanglement

2017 ◽  
Author(s):  
Richard Healey
Keyword(s):  
Quantum Theory ◽  
Quantum State ◽  
Physical Condition ◽  
Physical System ◽  
Polarization State ◽  
Quantum Systems ◽  
Ghz State ◽  
Mathematical Representation ◽  
Entangled State ◽  
Physical Relation

Often a pair of quantum systems may be represented mathematically (by a vector) in a way each system alone cannot: the mathematical representation of the pair is said to be non-separable: Schrödinger called this feature of quantum theory entanglement. It would reflect a physical relation between a pair of systems only if a system’s mathematical representation were to describe its physical condition. Einstein and colleagues used an entangled state to argue that its quantum state does not completely describe the physical condition of a system to which it is assigned. A single physical system may be assigned a non-separable quantum state, as may a large number of systems, including electrons, photons, and ions. The GHZ state is an example of an entangled polarization state that may be assigned to three photons.

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