Output spectrum of a detector measuring quantum oscillations
arXiv:cond-mat/0003225 · doi:10.1103/PhysRevB.63.085312
Abstract
We consider a two-level quantum system (qubit) which is continuously measured by a detector and calculate the spectral density of the detector output. In the weakly coupled case the spectrum exhibits a moderate peak at the frequency of quantum oscillations and a Lorentzian-shape increase of the detector noise at low frequency. With increasing coupling the spectrum transforms into a single Lorentzian corresponding to random jumps between two states. We prove that the Bayesian formalism for the selective evolution of the density matrix gives the same spectrum as the conventional master equation approach, despite the significant difference in interpretation. The effects of the detector nonideality and the finite-temperature environment are also discussed.
8 pages, 6 figures
References in corpus (4)
Cited by in corpus (66)
- Quantum state engineering with Josephson-junction devices
- Introduction to Quantum Noise, Measurement and Amplification
- Single-molecule Scale Magnetic Resonance Spectroscopy using Nitrogen-Vacancy Centers in Diamond
- Relaxation and Zeno effect in qubit measurements
- Scanning Quantum Decoherence Microscopy
- Quantum feedback control of a solid-state qubit
- High-resolution spectroscopy of single nuclear spins via sequential weak measurements
- Entanglement of solid-state qubits by measurement
- Spontaneous Relaxation of a Charge Qubit under Electrical Measurement
- Signatures of quantum behavior in single-qubit weak measurements
- Distinguishing quantum and classical transport through nanostructures
- Parity meter for charge qubits: an efficient quantum entangler
- Continuous quantum measurement with independent detector cross-correlations
- Stochastic path integral formalism for continuous quantum measurement
- A macro-realism inequality for opto-electro-mechanical systems
- Nonclassical time correlation functions in continuous quantum measurement
- Continuous quantum measurement: inelastic tunnelling suppresses current oscillations
- Single qubit measurements with an asymmetric single-electron transistor
- Quasi-probability distributions for observables in dynamic systems
- Qubit measurements with a double-dot detector
- Characterization of arbitrary-order correlations in quantum baths by weak measurement
- Quantum mechanical approach to decoherence and relaxation generated by fluctuating environment
- Quantum measurement of a solid-state qubit: A unified quantum master equation approach revisited
- Spectrum of qubit oscillations from Bloch equations
- Rapid estimation of drifting parameters in continuously measured quantum systems
- Single-qubit gates and measurements in the surface acoustic wave quantum computer
- A sequence of unsharp measurements enabling a real time visualization of a quantum oscillation
- Simple quantum feedback of a solid-state qubit
- Optimal post-processing for a generic single-shot qubit readout
- Nonideal quantum detectors in Bayesian formalism
- Quantum nonlinear spectroscopy of single nuclear spins
- Quantum trajectories for the realistic measurement of a solid-state charge qubit
- Output spectrum of a measuring device at arbitrary voltage and temperature
- Continuous quantum feedback of coherent oscillations in a solid-state qubit
- Higher order moments, cumulants, and spectra of continuous quantum noise measurements
- Continuous measurement of entangled qubits
- Qubit measurement error from coupling with a detuned neighbor in circuit QED
- Quantum measurement characteristics of double-dot single electron transistor
- Quantum rifling: protecting a qubit from measurement back-action
- Unusual decoherence in qubit measurements with a Bose-Einstein condensate
- Quantum Zeno stabilization in weak continuous measurement of two qubits
- Multi-time correlators in continuous measurement of qubit observables
- Bacon-Shor code with continuous measurement of non-commuting operators
- Generalized figure of merit for qubit readout
- Correlated quantum measurement of a solid-state qubit
- Comment on "Continuous quantum measurement: inelastic tunneling and lack of current oscillations"
- Quantum polyspectra for modeling and evaluating quantum transport measurements: A unifying approach to the strong and weak measurement regime
- 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
- Random-time quantum measurements
- Persistent Rabi oscillations probed via low-frequency noise correlation
- Renormalized dynamics in charge qubit measurements by a single electron transistor
- Correlation functions for realistic continuous quantum measurement
- High-precision tomography of ion qubits based on registration of fluorescent photons
- Probing the non-Abelian fusion of a pair of Majorana zero modes
- Making Every Photon Count: A Quantum Polyspectra Approach to the Dynamics of Blinking Quantum Emitters at Low Photon Rates Without Binning
- Quantum measurement of an electron in disordered potential: delocalization versus measurement voltages
- Conditional counting statistics of electrons tunneling through quantum dot systems measured by a quantum point contact
- Qubit measurement using a quantum point contact with a quantum Langevin equation approach
- Transport and fusion of Majorana zero modes in the presence of nonadiabatic transitions
- Edge-state Fabry-Perot interferometer as a high sensitivity charge detector
- Perturbative approach to the capacitive interaction between a sensor quantum dot and a charge qubit
- Quantum energetics of a non-commuting measurement
- Quantumness of electron transport in quantum dot devices through Leggett-Garg inequalities: A non-equilibrium Green's function approach
- Majorana qubit readout by a point-contact detector under finite bias voltages
- Quantum Efficiency of Charge Qubit Measurements Using a Single Electron Transistor