The Wigner Function for a Quantum System with an Infinitely Deep Square-Well Potential

2004 ◽  
Vol 70 (4) ◽  
pp. 207-211 ◽  
Author(s):  
Shi-Hai Dong ◽  
Guo-Hua Sun ◽  
Jiang Yu
Keyword(s):  
Quantum System ◽  
Wigner Function ◽  
Square Well

scholarly journals COHERENT AND GENERALIZED INTELLIGENT STATES FOR INFINITE SQUARE WELL POTENTIAL AND NONLINEAR OSCILLATORS

2002 ◽  
Vol 16 (26) ◽  
pp. 3915-3937 ◽  
Author(s):  
A. H. EL KINANI ◽  
M. DAOUD
Keyword(s):  
Quantum System ◽  
Coherent States ◽  
Nonlinear Oscillators ◽  
Analytical Representation ◽  
Square Well ◽  
Arbitrary Quantum

This article is an illustration of the construction of coherent and generalized intelligent states which has been recently proposed by us for an arbitrary quantum system.1 We treat the quantum system submitted to the infinite square well potential and the nonlinear oscillators. By means of the analytical representation of the coherent states à la Gazeau–Klauder and those à la Klauder–Perelomov, we derive the generalized intelligent states in analytical ways.

scholarly journals Universal non-Markovianity detection in hybrid open quantum systems

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Jiří Svozilík ◽  
Raúl Hidalgo-Sacoto ◽  
Ievgen I. Arkhipov
Keyword(s):  
Quantum System ◽  
Wigner Function ◽  
Open Quantum Systems ◽  
Quantum Correlations ◽  
Quantum Systems ◽  
Continuous Variables ◽  
Open Quantum ◽  
Hybrid Quantum Systems

Abstract A universal characterization of non-Markovianity for any open hybrid quantum systems is presented. This formulation is based on the negativity volume of the generalized Wigner function, which serves as an indicator of the quantum correlations in any composite quantum systems. It is shown, that the proposed measure can be utilized for any single or multi-partite quantum system, containing any discrete or continuous variables. To demonstrate its power in revealing non-Markovianity in such quantum systems, we additionally consider a few illustrative examples.

An Efficient Numerical Algorithm for Constructing the Wigner Function of a Quantum System with a Polynomial Potential in Phase Space

2021 ◽  
Vol 52 (3) ◽  
pp. 438-476
Author(s):  
E. E. Perepelkin ◽  
B. I. Sadovnikov ◽  
N. G. Inozemtseva ◽  
E. V. Burlakov ◽  
R. V. Polyakova
Keyword(s):  
Phase Space ◽  
Quantum System ◽  
Wigner Function ◽  
Numerical Algorithm ◽  
Polynomial Potential

Wigner function of open quantum system

2018 ◽  
Vol 21 (04) ◽  
pp. 1850026
Author(s):  
Maxim O. Burkatckii
Keyword(s):  
Phase Space ◽  
Quantum System ◽  
Wigner Function ◽  
Open System ◽  
Open Quantum System ◽  
Open Quantum

We consider a quantum system consisting of two subsystems (open system and environment). We have proved that the Wigner function of an open system is the integral of the Wigner function of a larger system with respect to coordinates of the phase space of the classical subsystem corresponding to the entourage.

REALIZATION OF DYNAMICAL GROUP FOR A SYMMETRIC WELL POTENTIAL tan2(πx/a) AND ITS CONTROLLABILITY

2006 ◽  
Vol 21 (28n29) ◽  
pp. 5833-5843
Author(s):  
SHI-HAI DONG ◽  
M. LOZADA-CASSOU ◽  
MARCO A. ARJONA L
Keyword(s):  
Exact Solutions ◽  
Quantum System ◽  
Ground State ◽  
Bound States ◽  
Factorization Method ◽  
Creation Operator ◽  
Ladder Operators ◽  
Dynamical Group ◽  
Commutation Relations ◽  
Square Well

The exact solutions of quantum system with a symmetric well potential V(x) = D tan 2(πx/a) are obtained. The ladder operators are constructed directly from the normalized eigenfunctions with the factorization method. It is shown that these ladder operators satisfy the commutation relations of the generators for an su(1, 1) algebra. The infinitely deep square well and harmonic limits of this potential are briefly studied. The controllability of this system is also investigated. It is demonstrated that this system with discrete bound states can be strongly completely controlled. This may be realized theoretically by acting the creation operator [Formula: see text] on the ground state.

Decoherence decay time and thermal distributions for quadratic quantum Lagrangians

2018 ◽  
Vol 96 (10) ◽  
pp. 1138-1144
Author(s):  
Zahra Musavi
Keyword(s):  
High Temperature ◽  
Quantum System ◽  
Wigner Function ◽  
Decay Time ◽  
Weak Coupling ◽  
Distribution Functions ◽  
Weak Coupling Regime ◽  
Thermal Distribution ◽  
Quantum Propagator ◽  
External Forces

Quantum propagator for a general quadratic Lagrangian is obtained using position and momentum operators in Heisenberg picture and properties of propagators. For a quantum system governed by a general quadratic Lagrangian containing external forces, decoherence decay time, thermal distribution functions, and thermal Wigner function are obtained in high temperature and weak coupling regime.

Wigner function of a quantum system with polynomial potential

2020 ◽  
Vol 2020 (5) ◽  
pp. 053105
Author(s):  
E E Perepelkin ◽  
B I Sadovnikov ◽  
N G Inozemtseva ◽  
E V Burlakov
Keyword(s):  
Quantum System ◽  
Wigner Function ◽  
Polynomial Potential
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