scholarly journals Quantum system-bath dynamics with quantum superposition sampling and coupled generalized coherent states

2019 ◽  
Vol 151 (6) ◽  
pp. 064103 ◽  
Author(s):  
Oliver Bramley ◽  
Christopher Symonds ◽  
Dmitrii V. Shalashilin
Keyword(s):  
Quantum System ◽  
Coherent States ◽  
Quantum Superposition ◽  
Generalized Coherent States

scholarly journals Uncertainty Relations in the Madelung Picture

Entropy ◽  
2021 ◽  
Vol 24 (1) ◽  
pp. 20
Author(s):  
Moise Bonilla-Licea ◽  
Dieter Schuch
Keyword(s):  
Wave Function ◽  
Quantum System ◽  
Momentum Space ◽  
Coherent States ◽  
Quantum Mechanical ◽  
Uncertainty Relations ◽  
Hydrodynamic Equations ◽  
Generalized Coherent States ◽  
Complex Wave ◽  
Classical Hydrodynamic

Madelung showed how the complex Schrödinger equation can be rewritten in terms of two real equations, one for the phase and one for the amplitude of the complex wave function, where both equations are not independent of each other, but coupled. Although these equations formally look like classical hydrodynamic equations, they contain all the information about the quantum system. Concerning the quantum mechanical uncertainties of position and momentum, however, this is not so obvious at first sight. We show how these uncertainties are related to the phase and amplitude of the wave function in position and momentum space and, particularly, that the contribution from the phase essentially depends on the position–momentum correlations. This will be illustrated explicitly using generalized coherent states as examples.

scholarly journals Generalized coherent states

2014 ◽  
Vol 82 (8) ◽  
pp. 742-748 ◽  
Author(s):  
T. G. Philbin
Keyword(s):  
Coherent States ◽  
Generalized Coherent States

Description of anharmonic effects with generalized coherent states

2004 ◽  
Vol 37 (3) ◽  
pp. 769-779 ◽  
Author(s):  
Atsushi Kuriyama ◽  
Masatoshi Yamamura ◽  
Constança Providência ◽  
João da Providência ◽  
Yasuhiko Tsue
Keyword(s):  
Coherent States ◽  
Anharmonic Effects ◽  
Generalized Coherent States

scholarly journals Quantum Filtering Equations for a System Driven by Nonclassical Fields

2018 ◽  
Vol 25 (02) ◽  
pp. 1850007 ◽  
Author(s):  
Anita Da̧browska
Keyword(s):  
Quantum System ◽  
Coherent States ◽  
Single Photon ◽  
Photon Counting ◽  
Stochastic Evolution ◽  
Input Output ◽  
Nonclassical States ◽  
Cascade System ◽  
Unitary Evolution ◽  
Photon States

Using Gardiner and Collet’s input-output model and the concept of cascade system, we determine the filtering equation for a quantum system driven by light in some specific nonclassical states. The quantum system and electromagnetic field are described by making use of quantum stochastic unitary evolution. We consider two examples of the nonclassical states of field: a combination of vacuum and single photon states and a mixture of two coherent states. The stochastic evolution conditioned on the results of the photon counting and quadrature measurements is described.

scholarly journals Semiclassical Description of Anisotropic Magnets for Spin

2012 ◽  
Vol 2012 ◽  
pp. 1-3 ◽  
Author(s):  
Khikmat Muminov ◽  
Yousef Yousefi
Keyword(s):  
Wave Equation ◽  
Spin Wave ◽  
Nonlinear Equations ◽  
Ground State ◽  
Coherent States ◽  
One Dimensional ◽  
Generalized Coherent States

Nonlinear equations describing one-dimensional non-Heisenberg ferromagnetic model are studied by the use of generalized coherent states in a real parameterization. Also, dissipative spin wave equation for dipole and quadruple branches is obtained if there is a small linear excitation from the ground state.

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