Landau-Drude Diamagnetism: Fluctuation, Dissipation and Decoherence

Abstract

Starting from a quantum Langevin equation (QLE) of a charged particle coupled to a heat bath in the presence of an external magnetic field, we present a fully dynamical calculation of the susceptibility tensor. We further evaluate the position autocorrelation function by using the Gibbs ensemble approach. This quantity is shown to be related to the imaginary part of the dynamical susceptibility, thereby validating the fluctuation-dissipation theorem in the context of dissipative diamagnetism. Finally we present an overview of coherence-to-decoherence transition in the realm of dissipative diamagnetism at zero temperature. The analysis underscores the importance of the details of the relevant physical quantity, as far as coherence to decoherence transition is concerned.

arXiv comment8 pages and 5 figures

References in corpus (4)

• Path Integrals and Their Application to Dissipative Quantum Systems
• Crossover from coherent to incoherent dynamics in damped quantum systems
• Atomic Tunneling from a STM/AFM tip: Dissipative Quantum Effects from Phonons
• Dissipative Diamagnetism -- A Case Study for Equilibrium and Nonequilibrium Statistical Mechanics of Mesoscopic Systems

Cited by in corpus (7)

• Low temperature Thermodynamics in the Context of Dissipative Diamagnetism
• Dissipative Quantum Systems and the Heat Capacity Enigma
• Quantum thermodynamics of a charged magneto-oscillator coupled to a heat bath
• Quantum counterpart of energy equipartition theorem for a dissipative charged magneto-oscillator: Effect of dissipation, memory, and magnetic field
• Partition of kinetic energy and magnetic moment in dissipative diamagnetism
• Quantum Dynamics of a Dissipative and Confined Cyclotron Motion
• Controlling Orbital Magnetism of Band Electron Systems via Bath Engineering