Effect of magnetic field on the long-time dynamics of two charged coupled harmonic oscillators in the presence of a common heat bath
- Resource Type
- Working Paper
- Authors
- Bhattacharjee, Suraka; Mandal, Koushik
- Source
- Subject
- Condensed Matter - Statistical Mechanics
- Language
In this paper, the moderately long-time behaviours of the position autocorrelation, position velocity correlation and velocity autocorrelation functions for two charged coupled harmonic oscillators connected to a heat bath are derived in the presence of a magnetic field via the Quantum Langevin equation. It is seen that at long times the correlation functions at T->0 exhibit a power law decay with the coefficients of the power laws being completely different for the two masses that affect the overall trends of the decays of the correlation functions. The effect of the bath-induced force on mass m1 mediated by the interaction of m2 with the common heat bath is studied and the results are highlighted in the presence of an external magnetic field. This brings out the distinctness of the coupled oscillator scenario from the independent single oscillator model studied earlier in the literature. The results in the absence of a magnetic field are also presented, which are extremely important for analyzing the dynamics of atoms in protein molecules at low temperatures.
Comment: 12 pages; 7 figures