Landau-Zener transition in a two-level system coupled to a single highly-excited oscillator

Abstract

Two-level system strongly coupled to a single resonator mode (harmonic oscillator) is a paradigmatic model in many subfields of physics. We study theoretically the Landau-Zener transition in this model. Analytical solution for the transition probability is possible when the oscillator is highly excited, i.e. at high temperatures. Then the relative change of the excitation level of the oscillator in the course of the transition is small. The physical picture of the transition in the presence of coupling to the oscillator becomes transparent in the limiting cases of slow and fast oscillator. Slow oscillator effectively renormalizes the drive velocity. As a result, the transition probability either increases or decreases depending on the oscillator phase. The net effect is, however, the suppression of the transition probability. On the contrary, fast oscillator renormalizes the matrix element of the transition rather than the drive velocity. This renormalization makes the transition probability a non-monotonic function of the coupling amplitude.

9 pages, 7 figures

References in corpus (14)

• Single artificial-atom lasing
• Dissipative Landau-Zener transitions of a qubit: bath-specific and universal behavior
• Gauging a quantum heat bath with dissipative Landau-Zener transitions
• Environment assisted speed-up of the field evolution in cavity QED
• Landau-Zener transitions in qubits controlled by electromagnetic fields
• Quantum state preparation in circuit QED via Landau-Zener tunneling
• Landau-Zener transitions in a two-level system coupled to a finite-temperature harmonic oscillator
• Landau-Zener tunnelling in dissipative circuit QED
• Landau-Zener transitions in an open multilevel quantum system
• Counterintuitive transitions between crossing energy levels
• Magnetic resonance in slowly modulated longitudinal field: Modified shape of the Rabi oscillations
• Suppression of the Landau-Zener transition probability by a weak classical noise
• Effect of environmental spins on Landau-Zener transitions
• Analytical study of spin-dependent transition rates within pairs of dipolar and strongly exchange coupled spins with (S = 1/2) during magnetic resonant excitation

Cited by in corpus (4)

• Nonadiabatic transitions in Landau-Zener grids: integrability and semiclassical theory
• Schrödinger-cat states in Landau-Zener-Stückelberg-Majorana interferometry: a multiple Davydov Ansatz approach
• Generalized Adiabatic Impulse Approximation
• Dynamics of dissipative Landau-Zener transitions in an anisotropic three-level system