Unraveling Quantum Brownian Motion: Pointer States and their Classical Trajectories

Abstract

We characterize the pointer states generated by the master equation of quantum Brownian motion and derive stochastic equations for the dynamics of their trajectories in phase space. Our method is based on a Poissonian unraveling of the master equation whose deterministic part exhibits soliton-like solutions that can be identified with the pointer states. In the semiclassical limit, their phase space trajectories turn into those of classical diffusion, yielding a clear picture of the induced quantum- classical transition.

12 pages, 5 figures

References in corpus (9)

• Fundamental Aspects of Quantum Brownian Motion
• Master equation for a quantum particle in a gas
• Stochastic pure state representation for open quantum systems
• Continuous Quantum Measurement and the Quantum to Classical Transition
• On the quantum description of Einstein's Brownian motion
• Relaxation dynamics of a quantum Brownian particle in an ideal gas
• Emergence of pointer states in a non-perturbative environment
• Optimally Convergent Quantum Jump Expansion
• The pointer basis and the feedback stabilization of quantum systems

Cited by in corpus (10)

• Quantum Decoherence
• Stochastically bundled dissipators for the quantum master equation
• A decoherence-based approach to the classical limit in Bohm's theory
• Heralded dissipative preparation of nonclassical states in a Kerr oscillator
• Unravelling Cosmological Perturbations
• Classical from Quantum
• Born's rule yields classical states and classical mechanics
• Notes on oldest jump unravelling of spatial decoherence master equation
• Minimal scattering entanglement in one-dimensional trapped gases
• A microscopic model of wave-function dephasing and decoherence in the double-slit experiment