scholarly journals Vibrational spectroscopy of a harmonic oscillator system nonlinearly coupled to a heat bath

2002 ◽  
Vol 117 (13) ◽  
pp. 6221-6234 ◽  
Author(s):  
Tsuyoshi Kato ◽  
Yoshitaka Tanimura
Keyword(s):  
Harmonic Oscillator ◽  
Vibrational Spectroscopy ◽  
Heat Bath ◽  
Oscillator System

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

MULTI-MODE LINEAR COMPOSITE MOMENTUM REPRESENTATION AND ITS APPLICATION

2009 ◽  
Vol 23 (07) ◽  
pp. 975-988
Author(s):  
SHI-MIN XU ◽  
XING-LEI XU ◽  
JI-JIAN JIANG ◽  
HONG-QI LI ◽  
JI-SUO WANG
Keyword(s):  
Harmonic Oscillator ◽  
Unitary Transformation ◽  
Particle System ◽  
Momentum Representation ◽  
Dynamic Problems ◽  
Quantum Harmonic Oscillator ◽  
Oscillator System ◽  
Kinetic Coupling ◽  
Linear Composite ◽  
Multi Mode

A unitary transformation matrix, n linear-composite coordinate operators and n linear-composite momentum operators are constructed for an n-particle system, and the complete and orthonormal common eigenvectors of the multi-mode linear composite momentum operators are examined by virtue of the technique of integration within an ordered product of operators. The multi-mode linear composite momentum representation is proposed, and its application to a general two-mode forced quantum harmonic oscillator system with kinetic coupling is presented for solving some dynamic problems.

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

scholarly journals Dynamics of Quantum Correlations in a Qubit-Oscillator System Interacting via a Dissipative Bath

2020 ◽  
Vol 27 (01) ◽  
pp. 2050004
Author(s):  
R. Badveli ◽  
V. Jagadish ◽  
S. Akshaya ◽  
R. Srikanth ◽  
F. Petruccione
Keyword(s):  
Harmonic Oscillator ◽  
Numerical Simulations ◽  
Dipole Interaction ◽  
Quantum Correlations ◽  
Entanglement Dynamics ◽  
Lindblad Equation ◽  
Oscillator System ◽  
Microscopic Derivation ◽  
Initial States ◽  
Classical Correlations

The entanglement dynamics in a bipartite system consisting of a qubit and a harmonic oscillator interacting only through their coupling with the same bath is studied. The considered model assumes that the qubit is coupled to the bath via the Jaynes-Cummings interaction, whilst the position of the oscillator is coupled to the position of the bath via a dipole interaction. We give a microscopic derivation of the Gorini–Kossakowski–Sudarshan–Lindblad equation for the considered model. Based on the Kossakowski matrix, we show that non-classical correlations including entanglement can be generated by the considered dynamics. We then analytically identify specific initial states for which entanglement is generated. This result is also supported by our numerical simulations.

Analytical expressions for real and complex Fano parameters in a simple classical harmonic oscillator system

2021 ◽  
Author(s):  
Seiji MIZUNO
Keyword(s):  
Harmonic Oscillator ◽  
Resonance Frequency ◽  
Real Number ◽  
Wave Phenomenon ◽  
Fano Resonance ◽  
Equation Of Motion ◽  
Coupled Oscillator ◽  
Physical Systems ◽  
Oscillator System ◽  
Analytical Expressions

Abstract We analytically study the Fano resonance in a simple coupled oscillator system. We demonstrate directly from the equation of motion that the resonance profile observed in this system is generally described by the Fano formula with a complex Fano parameter. The analytical expressions are derived for the resonance frequency, resonance width, and Fano parameter, and the conditions under which the Fano parameter becomes a real number are examined. These expressions for the simple system are also expected to be helpful for considering various other physical systems because the Fano resonance is a general wave phenomenon.

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