Quantum dynamics in fluctuating traps: Master equation, decoherence, and heating

Grotz, Thimo; Heaney, Libby; Strunz, Walter T.

doi:10.1103/physreva.74.022102

Cited by 26 publications

(24 citation statements)

References 43 publications

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“…Besides, many system-environment interactions have a classical equivalent description [27][28][29][30][31][32] and there are situations where the environment can be effectively simulated classically [33]. Finally, we mention that in several situations * Electronic address: jacopo.trapani@unimi.it † Electronic address: matteo.paris@fisica.unimi.it of experimental interest [34][35][36][37] quantum systems interact with inherently classical Gaussian noise. In this framework, the main goal of this paper is to design a successful strategy to discriminate which kind of interaction, either local or common, occurs when an extended quantum probe interacts with a classical fluctuating environment.…”

Section: Introductionmentioning

confidence: 99%

Entanglement as a resource for discrimination of classical environments

Trapani

Paris

2017

Physics Letters A

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We address extended systems interacting with classical fluctuating environments and analyze the use of quantum probes to discriminate local noise, described by independent fluctuating fields, from common noise, corresponding to the interaction with a common one. In particular, we consider a bipartite system made of two non interacting harmonic oscillators and assess discrimination strategies based on homodyne detection, comparing their performances with the ultimate bounds on the error probabilities of quantum-limited measurements. We analyze in details the use of Gaussian probes, with emphasis on experimentally friendly signals. Our results show that a joint measurement of the position-quadrature on the two oscillators outperforms any other homodyne-based scheme for any input Gaussian state.

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Section: Introductionmentioning

confidence: 99%

Entanglement as a resource for discrimination of classical environments

Trapani

Paris

2017

Physics Letters A

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“…However, these systems lend urgent experimental relevance to the oscillator-spin model, and our model may serve as a starting point for the development of models tailored to specific experimental situations. In existing models of ion traps, the fluctuating forces have thus far been treated classically [21,22,23,24,25]. For QEMS, a realistic and quantitatively accurate modeling of the influence of the various defects on the resonator is rather involved.…”

Section: Introductionmentioning

confidence: 99%

Decoherence and dissipation of a quantum harmonic oscillator coupled to two-level systems

2008

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We derive and analyze the Born-Markov master equation for a quantum harmonic oscillator interacting with a bath of independent two-level systems. This hitherto virtually unexplored model plays a fundamental role as one of the four "canonical" system-environment models for decoherence and dissipation. To investigate the influence of further couplings of the environmental spins to a dissipative bath, we also derive the master equation for a harmonic oscillator interacting with a single spin coupled to a bosonic bath. Our models are experimentally motivated by quantum-electromechanical systems and micron-scale ion traps. Decoherence and dissipation rates are found to exhibit temperature dependencies significantly different from those in quantum Brownian motion. In particular, the systematic dissipation rate for the central oscillator decreases with increasing temperature and goes to zero at zero temperature, but there also exists a temperature-independent momentum-diffusion ͑heating͒ rate.

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“…κ − = κ + = 0. Dephasing can be realized by a stochastic unitary evolution [29][30][31]. The corresponding stochastic…”

Section: Exact Semi-classical Regimementioning

confidence: 99%

Phase space theory for open quantum systems with local and collective dissipative processes

Merkel,

Link,

Luoma

et al. 2020

Preprint

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In this article we investigate driven dissipative quantum dynamics of an ensemble of two-level systems given by a Markovian master equation with collective and non-collective dissipators. Exploiting the permutation symmetry in our model, we employ a phase space approach for the solution of this equation in terms of a diagonal representation with respect to certain generalized spin coherent states. Remarkably, this allows to interpolate between mean-field theory and finite system size in a formalism independent of Hilbert-space dimension. Moreover, in certain parameter regimes, the evolution equation for the corresponding quasiprobability distribution resembles a Fokker-Planck equation, which can be efficiently solved by stochastic calculus. Then, the dynamics can be seen as classical in the sense that no entanglement between the two-level systems is generated. Our results expose, utilize and promote techniques pioneered in the context of laser theory, which we now apply to problems of current theoretical and experimental interest.

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Quantum dynamics in fluctuating traps: Master equation, decoherence, and heating

Cited by 26 publications

References 43 publications

Entanglement as a resource for discrimination of classical environments

Entanglement as a resource for discrimination of classical environments

Decoherence and dissipation of a quantum harmonic oscillator coupled to two-level systems

Phase space theory for open quantum systems with local and collective dissipative processes

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