Nonexponential quantum decay under environmental decoherence
arXiv:1706.06943 · doi:10.1103/PhysRevLett.119.130401
Abstract
An unstable quantum state generally decays following an exponential law, as environmental decoherence is expected to prevent the decay products from recombining to reconstruct the initial state. Here we show the existence of deviations from exponential decay in open quantum systems under very general conditions. Our results are illustrated with the exact dynamics under quantum Brownian motion and suggest an explanation of recent experimental observations.
5+13 pp, 1+3 figures, to appear in Phys. Rev. Lett
References in corpus (22)
- A bound on chaos
- Dynamics of Loschmidt echoes and fidelity decay
- Quantum Metrology in Open Systems: Dissipative Cramér-Rao Bound
- Dynamics at the Many-Body Localization Transition
- Quantum Simulation of Generic Many-Body Open System Dynamics Using Classical Noise
- Scrambling the spectral form factor: unitarity constraints and exact results
- Local Operators in the Eternal Black Hole
- Orthogonality catastrophe as a consequence of qubit embedding in an ultra-cold Fermi gas
- Quench dynamics of the interacting Bose gas in one dimension
- Nonlinear quantum metrology of many-body open systems
- Long-time behavior of many-particle quantum decay
- Nonexponential fidelity decay in isolated interacting quantum systems
- The Late Time Behavior of False Vacuum Decay: Possible Implications for Cosmology and Metastable Inflating States
- Exact Quantum Decay of an Interacting Many-Particle System: the Calogero-Sutherland model
- Fidelity of fermionic atom-number states subjected to tunneling decay
- Full time nonexponential decay in double-barrier quantum structures
- Weisskopf-Wigner Decay Theory for the Energy-Driven Stochastic Schrödinger Equation
- The role of initial state reconstruction in short and long time deviations from exponential decay
- On the decay law for unstable open systems
- Exact Energy-Time Uncertainty Relation for Arrival Time by Absorption
- Positive Hamiltonians can give purely exponential decay
- Classical Limit of the Quantum Zeno Effect by Environmental Decoherence
Cited by in corpus (39)
- Quantum Speed Limits Across the Quantum-to-Classical Transition
- Operator growth and Krylov construction in dissipative open quantum systems
- Thermofield dynamics: Quantum Chaos versus Decoherence
- Operational definition of a quantum speed limit
- Non-Hermitian Hamiltonian Deformations in Quantum Mechanics
- Quantum Speed Limits under Continuous Quantum Measurements
- Decoherence in Conformal Field Theory
- Correlation Picture Approach to Open-Quantum-System Dynamics
- Probing the Non-exponential Decay Regime in Open Quantum Systems
- Power law tails and non Markovian dynamics in open quantum systems: An exact solution from Keldysh field theory
- Decay of a Thermofield-Double State in Chaotic Quantum Systems
- Criterion for quantum Zeno and anti-Zeno effects
- Quantum speed limit for complex dynamics
- Speed limits of the trace distance for open quantum system
- Nonequilibrium thermodynamics of quantum coherence beyond linear response
- Quantum Dynamics with Stochastic Non-Hermitian Hamiltonians
- A healthier semi-classical dynamics
- Tight and attainable quantum speed limit for open systems
- Decays of unstable quantum systems
- Bhatia-Davis formula in the quantum speed limit
- Stochastic Operator Variance: an observable to diagnose noise and scrambling
- Decoherence factor as a convolution: an interplay between a Gaussian and an exponential coherence loss
- Decoherence rate in random Lindblad dynamics
- Bound state and Localization of excitation in many-body open systems
- Control of quantum noise: on the role of dilations
- Enhancing precision of atomic clocks by tuning disorder in accessories
- Quantum-Dynamical Semigroups and the Church of the Larger Hilbert Space
- Family of attainable geometric quantum speed limits
- Decoherence and the ultraviolet cutoff: non-Markovian dynamics of a charged particle in a magnetic field
- Limits to Perception by Quantum Monitoring with Finite Efficiency
- Open dynamics in the Aubry-André-Harper model coupled to a finite bath: the influence of localization in the system and dimensionality of bath
- Signatures of quantum phases in a dissipative system
- Double-Bracket Master Equations: Phase-Space Representation and Classical Limit
- Positive Hamiltonians cannot give exponential decay of positive observables
- Quantum stroboscopy for time measurements
- Evaluation of Energy Resolution by Changing Angle and Position of Incident Photon in a LYSO Calorimeter
- Quantum-to-Classical Transition via Single-Shot Generalized Measurements
- Quantum Transition Rates in Arbitrary Physical Processes
- Tight bounds of quantum speed limit for noisy dynamics via maximum rotation angles