Suppression of the Landau-Zener transition probability by a weak classical noise

Abstract

When the drive which causes the level crossing in a qubit is slow, the probability, P_{LZ}, of the Landau-Zener transition is close to 1. We show that in this regime, which is most promising for applications, the noise due to the coupling to the environment, reduces the average P_{LZ}. At the same time, the survival probability, 1-P_{LZ}, which is exponentially small for a slow drive, can be completely dominated by noise-induced correction. Our main message is that the effect of a weak classical noise can be captured analytically by treating it as a perturbation in the Schroedinger equation. This allows us to study the dependence of the noise-induced correction to P_{LZ} on the correlation time of the noise. As this correlation time exceeds the bare Landau-Zener transition time, the effect of noise becomes negligible. We consider two conventional realizations of noise: Gaussian noise and telegraph noise.

8 pages, 4 figures

References in corpus (7)

• Universal Work Fluctuations during Shortcuts To Adiabaticity by Counterdiabatic Driving
• Dissipative Landau-Zener transitions of a qubit: bath-specific and universal behavior
• Gauging a quantum heat bath with dissipative Landau-Zener transitions
• Fast quantum noise in Landau-Zener transition
• Counter-diabatic driving for fast spin control in a two-electron double quantum dot
• Nonlinearly driven Landau-Zener transition with telegraph noise
• Landau-Zener transition driven by a slow noise

Cited by in corpus (16)

• Mesoscopic physics of nanomechanical systems
• Interplay of charge noise and coupling to phonons in adiabatic electron transfer between quantum dots
• Adiabatic electron charge transfer between two quantum dots in presence of 1/f noise
• Landau-Zener transition in a two-level system coupled to a single highly-excited oscillator
• Driven quantum spin chain in the presence of noise: Anti-Kibble-Zurek behavior
• Loss of adiabaticity with increasing tunneling gap in non-integrable multistate Landau-Zener models
• High Landau levels of 2D electrons near the topological transition caused by interplay of spin-orbit and Zeeman energy shifts
• Decoherence of electron spin qubit during transfer between two semiconductor quantum dots at low magnetic fields
• Landau-Zener transition between two levels coupled to continuum
• Generalized fast quasi-adiabatic population transfer for improved qubit readout, shuttling, and noise mitigation
• Noisy Demkov-Kunike model
• Transport of Majorana Bound State in the presence of telegraph noise
• Nonadiabatic dissociation of molecular Bose-Einstein condensates: competition between chemical reactions
• Shuttling Majorana zero modes in disordered and noisy topological superconductors
• Effect of decay of the final states on the probabilities of the Landau-Zener transitions in multistate non-integrable models
• Landau-Zener transition with energy-dependent decay rate of the excited state