A soluble random-matrix model for relaxation in quantum systems

A soluble random-matrix model for relaxation in quantum systems

We study the relaxation of a degenerate two-level system interacting with a heat bath, assuming a random-matrix model for the system-bath interaction. For times larger than the duration of a collision and smaller than the Poincare recurrence time, the survival probability of still finding the system...

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Veröffentlicht in:J. Stat. Phys.; (United States) 1988-04, Vol.51 (1-2), p.77-94
Hauptverfasser: MELLO, P. A, PEREYRA, P, KUMAR, N
Format: Artikel
Sprache:eng
Schlagworte:
656002 - Condensed Matter Physics- General Techniques in Condensed Matter- (1987-)
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics
ANGULAR MOMENTUM OPERATORS
BANACH SPACE
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Classical and quantum physics: mechanics and fields
CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
CRYSTAL MODELS
EIGENSTATES
Exact sciences and technology
FUNCTIONS
GAUSS FUNCTION
HAMILTONIANS
HERMITIAN OPERATORS
HILBERT SPACE
INTERACTIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MATRICES
MECHANICS
PAULI SPIN OPERATORS
Physics
PROBABILITY
QUANTUM MECHANICS
QUANTUM OPERATORS
RANDOMNESS
RELAXATION
SOLUBILITY
SPACE
STATISTICAL MECHANICS
THERMODYNAMICS
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Beschreibung
Zusammenfassung:We study the relaxation of a degenerate two-level system interacting with a heat bath, assuming a random-matrix model for the system-bath interaction. For times larger than the duration of a collision and smaller than the Poincare recurrence time, the survival probability of still finding the system at time t in the same state in which it was prepared at t = 0 is exactly calculated.
ISSN:0022-4715
1572-9613
DOI:10.1007/BF01015321