TY - JOUR

T1 - Microscopic description of dissipative dynamics of a level-crossing transition

AU - Messina, Antonino

AU - Scala, Matteo

AU - Militello, Benedetto

AU - Vitanov, null

PY - 2011

Y1 - 2011

N2 - We analyze the effect of a dissipative bosonic environment on the Landau-Zener-St¨uckelberg-Majorana (LZSM) level crossing model by using a microscopic approach to derive the relevant master equation. For an environment at zero temperature and weak dissipation, our microscopic approach confirms the independence of the survival probability on the decay rate that has been predicted earlier by the simple phenomenological LZSM model. For strong decay the microscopic approach predicts a notable increase of the survival probability, which signals dynamical decoupling of the initial state. Unlike the phenomenological model, our approach makes it possible to study the dependence of the system dynamics on the temperature of the environment. In the limit of very high temperature we find that the dynamics is characterized by a very strong dynamical decoupling of the initial state—the temperature-induced quantum Zeno effect.

AB - We analyze the effect of a dissipative bosonic environment on the Landau-Zener-St¨uckelberg-Majorana (LZSM) level crossing model by using a microscopic approach to derive the relevant master equation. For an environment at zero temperature and weak dissipation, our microscopic approach confirms the independence of the survival probability on the decay rate that has been predicted earlier by the simple phenomenological LZSM model. For strong decay the microscopic approach predicts a notable increase of the survival probability, which signals dynamical decoupling of the initial state. Unlike the phenomenological model, our approach makes it possible to study the dependence of the system dynamics on the temperature of the environment. In the limit of very high temperature we find that the dynamics is characterized by a very strong dynamical decoupling of the initial state—the temperature-induced quantum Zeno effect.

KW - Landau-Zener transition

KW - Quantum Zeno effect

KW - Time-dependent Hamiltonian

KW - Landau-Zener transition

KW - Quantum Zeno effect

KW - Time-dependent Hamiltonian

UR - http://hdl.handle.net/10447/57706

UR - http://pra.aps.org/abstract/PRA/v84/i2/e023416

M3 - Article

VL - 84

JO - PHYSICAL REVIEW A

JF - PHYSICAL REVIEW A

SN - 1050-2947

ER -