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Arteaga, Daniel; Calzetta, Esteban; Roura, Albert; Verdaguer, Enric

doi:10.1023/a:1025758616106

Cited by 7 publications

(9 citation statements)

References 26 publications

(45 reference statements)

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“…Our main point is that after decoherence takes place, a quantum open system at T = 0 should behave as a classical open system in contact with a classical bath whose oscillators are excited in a way that reproduces the fluctuations of the corresponding quantum environment. In order to fully understand this correspondence, one should simulate a classical system interacting with this type of generalized bath, reproducing the results of the quantum case and obtaining the same time-scales for fluctuation-induced activation [12,22]. We will leave a detailed study of this type of system to a future publication [23].…”

Section: A Numerical Resultsmentioning

confidence: 99%

Decoherence, tunneling, and noise-induced activation in a double-potential well at high and zero temperature

et al. 2006

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We study the effects of the environment on tunneling in an open system described by a static double-well potential. We describe the evolution of a quantum state localized in one of the minima of the potential at t = 0, in both the limits of high and zero environment temperature. We show that the evolution of the system can be summarized in terms of three main physical phenomena--namely, decoherence, quantum tunneling, and noise-induced activation--and we obtain analytical estimates for the corresponding time scales. These analytical predictions are confirmed by large-scale numerical simulations, providing a detailed picture of the main stages of the evolution and of the relevant dynamical processes.

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Section: A Numerical Resultsmentioning

confidence: 99%

Decoherence, tunneling, and noise-induced activation in a double-potential well at high and zero temperature

et al. 2006

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“…(23). In terms of the reduced Wigner function, which we may call W 0 (x, p), this state is easily described in the energy representation (35) by the coefficients C E1E2 (0) = C E1 (0)C * E2 (0), where C E (0) is given by Eq. (23).…”

Section: B Tunneling In the Energy Representation: Closed Systemmentioning

confidence: 99%

“…(32), to represent the reduced Wigner function W (x, p, t) as in Eq. (35). The previous N and E have very simple expressions in this representation:…”

Section: A Energy Representation Of the Reduced Wigner Functionmentioning

confidence: 99%

“…These coefficients can be deduced from microscopic physics: they take constant values when the environment is made by an Ohmic distribution of harmonic oscillators weakly coupled in thermal equilibrium at high temperature; but at zero temperature they are time dependent [35,36,37]. Thus the model studied here may be seen as a toy model at low temperature, generally valid at long time scales only.…”

Section: Introductionmentioning

confidence: 98%

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Real-time approach to tunnelling in open quantum systems: decoherence and anomalous diffusion

Calzetta¹,

Verdaguer²

2006

J. Phys. A: Math. Gen.

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Macroscopic quantum tunneling is described using the master equation for the reduced Wigner function of an open quantum system at zero temperature. Our model consists of a particle trapped in a cubic potential interacting with an environment characterized by dissipative and normal and anomalous diffusion coefficients. A representation based on the energy eigenfunctions of the isolated system, i. e. the system uncoupled to the environment, is used to write the reduced Wigner function, and the master equation becomes simpler in that representation. The energy eigenfunctions computed in a WKB approximation incorporate the tunneling effect of the isolated system and the effect of the environment is described by an equation that it is in many ways similar to a FokkerPlanck equation. Decoherence is easily identified from the master equation and we find that when the decoherence time is much shorter than the tunneling time the master equation can be approximated by a Kramers like equation describing thermal activation due to the zero point fluctuations of the quantum environment. The effect of anomalous diffusion can be dealt with perturbatively and its overall effect is to inhibit tunneling.

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“…We have mentioned measurement of persistent current 11,12,13 as well as projecting on the system's energy eigenstates. Another measurement possibility is a zero temperature activation-like process 34 where the dominant mechanism is not tunneling, but the same quantum effects of the environment which we have discussed here.…”

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confidence: 97%

Entanglement energetics in the ground state

Jordan

Büttiker

2004

Journal of Modern Optics

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We show how many-body ground state entanglement information may be extracted from subsystem energy measurements at zero temperature. A precise relation between entanglement and energy fluctuations is demonstrated in the weak coupling limit. Examples are given with the two-state system and the harmonic oscillator, and energy probability distributions are calculated. Comparisons made with recent qubit experiments show this type of measurement provides another method to quantify entanglement with the environment.

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Untitled

Cited by 7 publications

References 26 publications

Decoherence, tunneling, and noise-induced activation in a double-potential well at high and zero temperature

Decoherence, tunneling, and noise-induced activation in a double-potential well at high and zero temperature

Real-time approach to tunnelling in open quantum systems: decoherence and anomalous diffusion

Entanglement energetics in the ground state

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