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Laser Physics

Quantum Zeno control of decoherence

Sabrina Maniscalco

Published Apr 2, 2010• 2 citations
Publisher

Abstract

We demonstrate the possibility of controlling the quantum to classical transition by means of the quantum Zeno and anti-Zeno effects. We consider a quantum harmonic oscillator initially prepared in a Schrödinger cat state and interacting with an engineered amplitude reservoir. We show that the environment induced decoherence transforming the cat state into a statistical mixture can be strongly inhibited by means of either appropriate sequences of measurements or shuttered reservoirs.

DOI
10.1134/s1054660x10090094

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We demonstrate the possibility of controlling the quantum to classical transition by means of the quantum Zeno and anti-Zeno effects. We consider a quantum harmonic oscillator initially prepared in a Schrödinger cat state and interacting with an engineered amplitude reservoir. We show that the environment induced decoherence transforming the cat state into a statistical mixture can be strongly inhibited by means of either appropriate sequences of measurements or shuttered reservoirs.
We investigate two techniques for controlling decoherence, focusing on the crucial role played by the environmental spectrum. We show how environments with different spectra lead to very different dynamical behaviors. Our study clearly proves that such differences must be taken into account when designing decoherence control schemes. The two techniques we consider are reservoir engineering and quantum Zeno control. We focus on a quantum harmonic oscillator initially prepared in a nonclassical state and derive analytically its non-Markovian dynamics in the presence of different bosonic thermal environments. On the one hand, we show how, by modifying the spectrum of the environment, it is possible to prolong or reduce the life of a Schr\"odinger cat state. On the other hand, we study the effect of nonselective energy measurements on the degradation of quantumness of initial Fock states. In this latter case, we see that the crossover between quantum Zeno and anti-Zeno effects, discussed by Maniscalco et al. [Phys. Rev. Lett. 97, 130402 (2006)], is highly sensitive to the details of the spectrum. In particular, for certain types of spectra, even very small variations of the system frequency may cause a measurement-induced acceleration of decoherence rather than its inhibition.
In this paper, we analyze two different techniques based on reservoir engineering method and quantum Zeno effect for controlling decoherence of a dissipative charged oscillator in the presence of an external magnetic field. Our main focus is to investigate the sensitiveness of these decoherence control techniques on the details of different environmental spectrum (J(ω)J(ω)J(ω)), and on the crucial role played by different system and reservoir parameters, e.g., external magnetic field (rcr_crc​), confinement length (r0r_0r0​), temperature (T), cut-off frequency of reservoir spectrum (ωcutω_{cut}ωcut​), and measurement interval (τττ). First, we consider the charged quantum oscillator in an initial nonclassical Schrodinger cat state and analyze the non-Markovian dynamics for the magneto-oscillator in contact with Ohmic, sub-Ohmic, and super-Ohmic environments. We show the procedure to control the quantumness of the Schrodinger cat state by tuning the parameters rcr_crc​, r0r_0r0​, and J(ω)J(ω)J(ω). On the other hand, we investigate the effect of nonselective energy measurement process on the mortification of quantumness of an initial Fock-Darwin state of the charged magneto-oscillator. We investigate in details the strategy to manipulate the continuous passage from decay suppression to decay acceleration by engineered reservoirs and by tuning the system or reservoir parameters, e.g., rcr_crc​, r0r_0r0​, T or τττ. As a result of that one can control environment induced decoherence (EID).
In this Letter, we investigate the occurrence of the Zeno and anti-Zeno effects for quantum Brownian motion. We single out the parameters of both the system and the reservoir governing the crossover between Zeno and anti-Zeno dynamics. We demonstrate that, for high reservoir temperatures, the short time behavior of environment induced decoherence is ultimately responsible for the occurrence of either the Zeno or the anti-Zeno effect. Finally, we suggest a way to manipulate the decay rate of the system and to observe a controlled continuous passage from decay suppression to decay acceleration using engineered reservoirs in the trapped ion context.
The quantum Zeno effect predicts that the decay of an unstable system can be slowed down by measuring the system frequently enough. In some systems, however, an enhancement of the decay due to frequent measurements, namely the anti-Zeno effect, may occur. In this paper we study the Zeno-anti-Zeno crossover for quantum Brownian motion. Moreover, we propose a way to manipulate the decay of the system and to observe a controlled continuous passage from decay suppression to decay acceleration by using reservoir engineering techniques.
In this paper we investigate the occurrence of the Zeno and anti-Zeno effects for quantum Brownian motion. We single out the parameters of both the system and the reservoir governing the crossover between Zeno and anti-Zeno dynamics. We demonstrate that, for high reservoir temperatures, the short time behaviour of environment induced decoherence is the ultimate responsible for the occurrence of either the Zeno or the anti-Zeno effect. Finally we suggest a way to manipulate the decay rate of the system and to observe a controlled continuous passage from decay suppression to decay acceleration using engineered reservoirs in the trapped ion context .