Quantum transitions induced by the third cumulant of current fluctuations

Abstract

We investigate the transitions induced by external current fluctuations on a small probe quantum system. The rates for the transitions between the energy states are calculated using the real-time Keldysh formalism for the density matrix evolution. We especially detail the effects of the third cumulant of current fluctuations inductively coupled to a quantum bit and propose a setup for detecting the frequency-dependent third cumulant through the transitions it induces.

4 pages, 3 figures

References in corpus (9)

• Quantum noise in the Josephson charge qubit
• Detection of Quantum Noise from an Electrically-Driven Two-Level System
• Measurement of Counting Statistics of Electron Transport in a Tunnel Junction
• Shot-noise-driven escape in hysteretic Josephson junctions
• Measuring non-Gaussian fluctuations through incoherent Cooper pair current
• Frequency dependent third cumulant of current in diffusive conductors
• Observation of shot-noise-induced asymmetry in the Coulomb blockaded Josephson junction
• How to detect the fourth order cumulant of electrical noise
• Effect of the shot-noise on a Coulomb blockaded single Josephson junction

Cited by in corpus (7)

• Frequency-dependent current correlation functions from scattering theory
• Detection of finite frequency current moments with a dissipative resonant circuit
• Qubits as devices to detect the third moment of current fluctuations
• Quantum detectors for the third cumulant of current fluctuations
• Detecting Current Noise with a Josephson Junction in the Macroscopic Quantum Tunneling Regime
• Tunnel junction as a noise probe
• Elasticity and metastability limit in supercooled liquids: a lattice model