Effect of the measurement on the decay rate of a quantum system

Abstract

We investigated the electron tunneling out of a quantum dot in the presence of a continuous monitoring by a detector. It is shown that the Schrödinger equation for the whole system can be reduced to new Bloch-type rate equations describing the time-development of the detector and the measured system at once. Using these equations we find that the continuous measurement of the unstable system does not affect its exponential decay, $\exp (-\Gamma t)$, contrary to expectations based on the Quantum Zeno effect . However, the width of the energy distribution of the tunneling electron is no more $\Gamma$, but increases due to the decoherence, generated by the detector.

Additional explanations are added. Accepted for publications in Phys. Rev. Lett

References in corpus (1)

• General equation for Zeno-like effects in spontaneous exponential decay

Cited by in corpus (27)

• Phase coherent transmission through interacting mesoscopic systems
• Relaxation and Zeno effect in qubit measurements
• Optimal Decoherence Control in non-Markovian Open, Dissipative Quantum Systems
• Probing decoherence through Fano resonances
• Shot noise in coupled dots and the "fractional charges"
• Delocalization in the Anderson model due to a local measurement
• Non-Markovian decay beyond the Fermi Golden Rule: Survival Collapse of the polarization in spin chains
• Quantum rate equations for electron transport through an interacting system in the sequential tunneling regime
• Influence of measurement on the life-time and the line-width of unstable systems
• Zeno and anti-Zeno effects for photon polarization dephasing
• Quantum Zeno and anti-Zeno effects in the Friedrichs model
• Weak and strong measurement of a qubit using a switching-based detector
• The information about the state of a qubit gained by a weakly coupled detector
• Nonequilibrium Fluctuations and Decoherence in Nanomechanical Devices Coupled to the Tunnel Junction
• Measurement of Two-Qubit States by a Two-Island Single Electron Transistor
• The information about the state of a charge qubit gained by a weakly coupled quantum point contact
• Destruction of the Kondo effect by a local measurement
• Decays in Quantum Hierarchical Models
• Influence of the detector's temperature on the quantum Zeno effect
• Quantum transfer through a non-Markovian environment under frequent measurements and Zeno effect
• Spatiotemporal Evolution of Topological Order Upon Quantum Quench Across the Critical Point
• Quantum transport through double-dot Aharonov-Bohm interferometry in Coulomb blockade regime
• Control of Decoherence and Correlation in Single Quantum Dissipative Oscillator Systems
• Readout of solid-state charge qubits using a single-electron pump
• Quantum control for the Zeno effect with noise
• Feynman Clocks, Causal Networks, and The Origin of Hierarchical 'Arrows of Time' in Complex Systems. Part 1: 'Conjectures'
• Nonclassical correlations in decaying systems