scholarly journals The harmonic oscillator in a heat bath

1973 ◽  
Vol 33 (3) ◽  
pp. 171-186 ◽  
Author(s):  
E. B. Davies
Keyword(s):  
Harmonic Oscillator ◽  
Heat Bath

Is there a lower bound energy in the harmonic oscillator interacting with a heat bath?

2003 ◽  
Vol 313 (4) ◽  
pp. 257-260 ◽  
Author(s):  
L.M. Arévalo Aguilar ◽  
N.G. de Almeida ◽  
C.J. Villas-Boas
Keyword(s):  
Lower Bound ◽  
Harmonic Oscillator ◽  
Heat Bath

scholarly journals Energy and information propagation in a finite coupled bosonic heat bath

2014 ◽  
Vol 12 (07n08) ◽  
pp. 1560022 ◽  
Author(s):  
Fernando Galve ◽  
Roberta Zambrini
Keyword(s):  
Harmonic Oscillator ◽  
Energy Exchange ◽  
Heat Bath ◽  
Information Propagation ◽  
State Behavior ◽  
Unitary Evolution ◽  
Dressed State ◽  
Bosonic Model ◽  
Intermediate Situation ◽  
Free Propagation

The finite coupled bosonic model of reservoir introduced by Vasile et al. [Phys. Rev. A 89 (2014) 022109] to characterize non-Markovianity, is used to study the different dissipative behaviors of a harmonic oscillator coupled to it when it is in resonance, close to resonance or far detuned. We show that information and energy exchange between system and heat bath go hand in hand because phonons are the carriers of both: in resonance free propagation of excitations is achieved, and therefore pure dissipation, while when far detuned the system can only correlate with the first oscillator in the bath's chain, leading to almost unitary evolution. In the intermediate situation, we show the penetration of correlations and the formation of oscillatory (dressed state) behavior, which lies at the root of non-Markovianity.

The harmonic oscillator interacting with a heat bath

2004 ◽  
Vol 51 (6-7) ◽  
pp. 1091-1092 ◽  
Author(s):  
L. M. Arévalo Aguilar ◽  
N. G. De Almeida ◽  
C. J. Villas-boas
Keyword(s):  
Harmonic Oscillator ◽  
Heat Bath

scholarly journals APPROACH TO EQUILIBRIUM IN THE CALDEIRA–LEGGETT MODEL

2013 ◽  
Vol 22 (03) ◽  
pp. 1350016 ◽  
Author(s):  
VENKITESH AYYAR ◽  
BERNDT MÜLLER
Keyword(s):  
Harmonic Oscillator ◽  
Quantum System ◽  
Autocorrelation Function ◽  
Ground State ◽  
Large Time ◽  
Heat Bath ◽  
Harmonic Oscillators ◽  
Explicit Calculation ◽  
Approach To Equilibrium ◽  
Time Limits

The Caldeira–Leggett (CL) model describes a microscopic quantum system, represented by a harmonic oscillator, in interaction with a heat bath, represented by a large number of harmonic oscillators with a range of frequencies. We consider the case when the system oscillator starts out in the ground state and then thermalizes due to interactions with the heat bath, which is at temperature θ. We calculate the position autocorrelation function 〈x(t')x(t)〉 of the system oscillator at two different times and study its behavior in the small and large time limits. Our results show that the system oscillator thermalizes as expected. We also confirm by explicit calculation that the position autocorrelation function exhibits periodicity for imaginary values of the time difference t'-t = iτ at late-(real) times t.

scholarly journals Quantum kicked harmonic oscillator in contact with a heat bath

2017 ◽  
Vol 95 (2) ◽  
Author(s):  
M. Á. Prado Reynoso ◽  
P. C. López Vázquez ◽  
T. Gorin
Keyword(s):  
Harmonic Oscillator ◽  
Heat Bath
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