Spontaneous Relaxation of a Charge Qubit under Electrical Measurement

Abstract

In this work we first derive a generalized conditional master equation for quantum measurement by a mesoscopic detector, then study the readout characteristics of qubit measurement where a number of new features are found. The work would in particular highlight the qubit spontaneous relaxation effect induced by the measurement itself rather than an external thermal bath.

4 pages, 2 figures; an error in Eq.(8) is corrected

References in corpus (19)

• Quantum state engineering with Josephson-junction devices
• Measurements with a noninvasive detector and dephasing mechanism
• Continuous weak measurement of quantum coherent oscillations
• Continuous quantum measurement of two coupled quantum dots using a point contact: A quantum trajectory approach
• Dephasing and the Orthogonality Catastrophe in Tunneling through a Quantum Dot: the ``Which Path?'' Interferometer
• Quantum Measurements Performed with a Single-Electron Transistor
• Dephasing in a quantum dot due to coupling with a quantum point contact
• Efficiency of Mesoscopic Detectors
• Dynamics of a mesoscopic qubit under continuous quantum measurement
• Measurement induced quantum-classical transition
• Relaxation and Zeno effect in qubit measurements
• Output spectrum of a detector measuring quantum oscillations
• Resonant Cooper Pair Tunneling: Quantum Noise and Measurement Characteristics
• Measurement Process In a Two-Barrier System
• Continuous quantum measurement: inelastic tunnelling suppresses current oscillations
• Quantum measurement of a solid-state qubit: A unified quantum master equation approach revisited
• Spectrum of qubit oscillations from Bloch equations
• Comment on "Continuous quantum measurement: inelastic tunneling and lack of current oscillations"
• Reply to Comment on "Continuous quantum measurement: inelastic tunneling and lack of current oscillations"

Cited by in corpus (46)

• Quantum master equation approach to quantum transport through mesoscopic systems
• Probing the existence and dynamics of Majorana fermion via transport through a quantum dot
• Dynamics of quantum dissipation systems interacting with Fermion and Boson grand canonical bath ensembles: Hierarchical equations of motion approach
• Generalized projected dynamics for non-system observables of non-equilibrium quantum impurity models
• Calculation of the current noise spectrum in mesoscopic transport: an efficient quantum master equation approach
• Full counting statistics of transport through two-channel Coulomb blockade systems
• Quantum master equation scheme of time-dependent density functional theory to time-dependent transport in nano-electronic devices
• Non-Markovian finite-temperature two-time correlation functions of system operators: beyond the quantum regression theorem
• Quantum Transport from the Perspective of Quantum Open Systems
• Large-deviation analysis for counting statistics in mesoscopic transports
• First Passage Times for Continuous Quantum Measurement Currents
• Non-Markovian dynamics of a nanomechanical resonator measured by a quantum point contact
• Magnetic field switching in parallel quantum dots
• Effect of finite Coulomb interaction on full counting statistics of electronic transport through single-molecule magnet
• Quantum measurement characteristics of double-dot single electron transistor
• Effects of magnetic field and transverse anisotropy on full counting statistics in single-molecule magnet
• Continuous weak measurement and feedback control of a solid-state charge qubit: physical unravelling of non-Lindblad master equation
• Full Counting statistics of level renormalization in electron transport through double quantum dots
• Full counting statistics as a probe of quantum coherence in a side-coupled double quantum dot system
• Coulomb blockade double-dot Aharonov-Bohm interferometer: giant fluctuations
• Noise spectrum of a tunnel junction coupled to a nanomechanical oscillator
• Non-equilibrium theory of charge qubit decoherence in the quantum point contact measurement
• Real-time counting of single electron tunneling through a T-shaped double quantum dot system
• Master equation approach for transport through Majorana zero modes
• Decoherence induced by electron accumulation in quantum measurement of charge qubits
• Coulomb blockade double-dot Aharonov-Bohm interferometer: harmonic decomposition of the interference pattern
• Non-Markovian dynamics and noise characteristics in continuous measurement of a solid-state charge qubit
• Weak Measurement of Qubit Oscillations with Strong Response Detectors: Violation of the Fundamental Bound Imposed on Linear Detectors
• Reduced dynamics with renormalization in solid-state charge qubit measurement
• Spin-dependent current noises in transport through coupled quantum dots
• Memory effect preserved time-local approach to noise spectrum of transport current
• Mechanism of current noise spectrum in a nonequilibirum Kondo dot system
• Renormalized dynamics in charge qubit measurements by a single electron transistor
• Modelling and Control of Quantum Measurement Induced Backaction in Double Quantum Dots
• Probing the non-Abelian fusion of a pair of Majorana zero modes
• Quantum measurement of an electron in disordered potential: delocalization versus measurement voltages
• Quantum trajectory analysis for electrical detection of single-electron spin resonance
• Qubit measurement using a quantum point contact with a quantum Langevin equation approach
• Coulomb staircase in an asymmetrically coupled quantum dot
• Distinguishing Majorana bound states from Andreev bound states through differential conductance and current noise spectrum
• Number-resolved master equation approach to quantum transport under the self-consistent Born approximation
• Transport and fusion of Majorana zero modes in the presence of nonadiabatic transitions
• Coherent time-dependent oscillations and temporal correlations in triangular triple quantum dots
• Nonequilibrium shot noise spectrum through a quantum dot in the Kondo regime: A master equation approach under self-consistent Born approximation
• Majorana qubit readout by a point-contact detector under finite bias voltages
• Negative differential conductance and super-Poissonian shot noise in single-molecule magnet junctions