Quantum Zeno and anti-Zeno effects in quantum dissipative systems

Abstract

We investigate the quantum Zeno and anti-Zeno effects in quantum dissipative systems by employing a hierarchical equations of motion approach which is beyond the usual Markovian approximation, the rotating wave approximation, and the perturbative approximation. The quantum Zeno and anti-Zeno dynamics of a biased qubit-boson model and a biased qutrit-boson model are provided as illustrative examples. It is found that (i) there exists multiple Zeno-anti-Zeno crossover phenomena, (ii) the non-Markovian characteristic of the bath may be favorable for the accessibility of the Zeno dynamics, and (iii) high bath temperature may add the difficulty in observing the quantum Zeno effect in quantum dissipative systems.Comment: Last Versio

Zeno effect of an open quantum system in the presence of 1/f noise

“…In this paper, we alternatively adopt a derivative of Γ, namely ∂Γ ∂τ , to classify QZE and QAZE: ∂Γ ∂τ > 0 means that the system is more severely slowed-down by faster repeated measurements, indicating the occurrence of QZE; on the contrary, ∂Γ ∂τ < 0 can be regarded as the characteristic of QAZE since the decay is accelerated by frequent measurements. This definition retains the core physical picture of QZE and QAZE without calculating Γ 0 , which has been commonly used in recent studies [9,24,45]. Throughout this paper, we use this new definition of QZE and QAZE.…”

Controllable dynamics of a dissipative two-level system

“…Up to now, various strategies have been proposed to suppress decoherence. For example, (1) the theory of decoherence-free subspace 5 – 7 , in which the quantum system undergoes a unitary evolution irrespective of environment’s influence; (2) dynamical decoupling pulse technique 8 – 10 , which aims at eliminating the unwanted system-environment coupling by a train of instantaneous pulses; (3) quantum Zeno effect 11 – 13 , which can inhibit the decay of a unstable quantum state by repetitive measurements; and (4) the bound-state-based mechanism scheme 14 – 17 , which can completely suppress decoherence and generate a dissipationless dynamics in the long-time regime. Each method has its own merit and corresponding weakness.…”

Controllable Dynamics of a Dissipative Two-level System

“…Up to now, various strategies have been proposed to suppress decoherence. For example, (i) the theory of decoherencefree subspace [5][6][7] , in which the quantum system undergoes a unitary evolution irrespective of environment's influence; (ii) dynamical decoupling pulse technique [8][9][10] , which aims at eliminating the unwanted system-environment coupling by a train of instantaneous pulses; (iii) quantum Zeno effect [11][12][13] , which can inhibit the decay of a unstable quantum state by repetitive measurements; and (iv) the bound-state-based mechanism scheme [14][15][16][17] , which can completely suppress decoherence and generate a dissipationless dynamics in the long-time regime. Each method has its own merit and corresponding weakness.…”