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QUANTUM MECHANICS OF DISSIPATIVE SYSTEMS
Annual Review of Physical Chemistry, 2005▪ Abstract Quantum dissipation involves both energy relaxation and decoherence, leading toward quantum thermal equilibrium. There are several theoretical prescriptions of quantum dissipation but none of them is simple enough to be treated exactly in real applications.
Yan, YJ, Xu, RX
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Quantum dissipation in unbounded systems
Physical Review E, 2002In recent years trajectory based methodologies have become increasingly popular for evaluating the time evolution of quantum systems. A revival of the de Broglie--Bohm interpretation of quantum mechanics has spawned several such techniques for examining quantum dynamics from a hydrodynamic perspective.
Jeremy B, Maddox, Eric R, Bittner
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Quantum diffusion in dissipative systems
Physical Review B, 1985The motion of a quantum-mechanical particle driven by a random fluctuating force is studied. Dissipation is introduced by coupling the particle to a continuous distribution of harmonic oscillators. A general expression for the mean-square displacement 〈${x}^{2}$(t)〉 is derived. It is shown that for long times t, one gets a crossover from a nondiffusive
, Marianer, , Deutsch
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2004
Our discussion so far has been restricted to classical dissipative systems. We now turn our attention to systems which are quantum mechanical, and yet are in contact with a heat bath which injects dissipation. Quantum mechanics introduces additional frequency scales in the problem through deterministic evolution. The interplay of these frequencies with
Sushanta Dattagupta, Sanjay Puri
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Our discussion so far has been restricted to classical dissipative systems. We now turn our attention to systems which are quantum mechanical, and yet are in contact with a heat bath which injects dissipation. Quantum mechanics introduces additional frequency scales in the problem through deterministic evolution. The interplay of these frequencies with
Sushanta Dattagupta, Sanjay Puri
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Quantum tunneling in dissipative systems
Physical Review A, 1993As a prelude to a discussion of tunneling in the presence of dissipation, we discuss the damped harmonic oscillator. We show that for a harmonic-oscillator potential, the Caldeira-Leggett Hamiltonian can be reduced to a sum of independent harmonic-oscillator Hamiltonians by a normal-mode transformation.
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Dissipative dynamics of quantum spin systems
Physical Review A, 1992We analyze the quantum version of the Landau-Lifshitz equation for damped spin motion using a properly tailored Gisin approach to the dissipative quantum mechanics. Coherent- and squeezed-spin-state evolution for a single spin S and a ferromagnetically coupled spin chain are discussed in detail.
, Holyst, , Turski
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Lyapunov Exponent for Quantum Dissipative Systems
Physical Review Letters, 1988On definit un exposant de Lyapunov pour une classe de systemes quantiques dissipatifs qui peuvent subir dans la limite classique, une cascade de bifurcations a double periode vers le chaos. On calcule le moyenne d'une fonctionnelle sur une trajectoire semi-classique pour un systeme classique dont la section de Poincare correspond au graphe de Henon ...
, Cerdeira, , Furuya, , Huberman
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Dissipation in quantum systems
Journal of Physics A: Mathematical and General, 1995The quantum dynamics of a mechanical subsystem interacting with a thermal bath is studied. A new approach to dissipated quantum mechanics is proposed which is based on the thermodynamic treatment of the energy balance. Simple application of the theory to ideal gases is considered and equations for the evolution of the main average quantities are ...
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Period doubling in dissipative quantum systems
Physical Review Letters, 1987A comment on the letter by H. A. Cerdeira, K. Furuya, and B. A. Huberman, Phys. Rev. Lett. 61, 2511 (1988).
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