6533b872fe1ef96bd12d313a

RESEARCH PRODUCT

Non-Markovian Wave Function Simulations of Quantum Brownian Motion

Francesco PetruccioneAntonino MessinaJyrki PiiloSabrina ManiscalcoSabrina Maniscalco

subject

PhysicsGeometric Brownian motiondynamicLindblad equationCondensed Matter PhysicsStochastic differential equationClassical mechanicsDiffusion processQuantum stochastic calculusQuantum stateMaster equationQuantum dissipationsystem-environment correlationsenvironment

description

The non-Markovian wave function method (NMWF) using the stochastic unravelling of the master equation in the doubled Hilbert space is implemented for quantum Brownian motion. A comparison between the simulation and the analytical results shows that the method can be conveniently used to study the non-Markovian dynamics of the system.

10.1556/aph.23.2005.3-4.1http://hdl.handle.net/10447/24600