Adiabatic transitions in a two-level system coupled to a free Boson reservoir

Abstract

We consider a time-dependent two-level quantum system interacting with a free Boson reservoir. The coupling is energy conserving and depends slowly on time, as does the system Hamiltonian, with a common adiabatic parameter $\epsilon$. Assuming that the system and reservoir are initially decoupled, with the reservoir in equilibrium at temperature $T\ge 0$, we compute the transition probability from one eigenstate of the two-level system to the other eigenstate as a function of time, in the regime of small $\epsilon$ and small coupling constant $\lambda$. We analyse the deviation from the adiabatic transition probability obtained in absence of the reservoir.

References in corpus (9)

• Quantum Computers and Dissipation
• Adiabatic Theorem without a Gap Condition
• Adiabatic theorems for generators of contracting evolutions
• General Adiabatic Evolution with a Gap Condition
• Quantum Markovian master equations: resonance theory shows validity for all time scales
• Resonance Theory of Decoherence and Thermalization
• Spontaneous decay of resonant energy levels for molecules with moving nuclei
• On Landau-Zener transitions for dephasing Lindbladians
• Production of Entanglement Entropy by Decoherence

Cited by in corpus (3)

• Reservoir-engineering shortcuts to adiabaticity
• Adiabatic Lindbladian Evolution with Small Dissipators
• The Adiabatic Wigner-Weisskopf Model