Distance Dependence of Entanglement Generation via a Bosonic Heat Bath

We analyze the static and dynamical properties of two Ising-coupled quantum spins embedded in a common bosonic bath as an archetype of dissipative quantum mechanics. First, we elucidate the ground state phase diagram for an ohmic and a subohmic bath using a combination of bosonic numerical renormalization group (NRG), analytical techniques and intuitive arguments. Second, employing the time-dependent NRG we investigate the system's rich dynamical behavior arising from the complex interplay between spin-spin and spin-bath interactions. Interestingly, spin oscillations can synchronize due to the proximity of the common non-Markovian bath and the system displays highly entangled steady states for certain nonequilibrium initial preparations. We complement our non-perturbative numerical results by exact analytical solutions when available and provide quantitative limits on the applicability of the perturbative Bloch-Redfield approach at weak coupling.

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“…27,[31][32][33][34][35] The entanglement entropy also contains information about the coherence between different spin states.…”

Section: 27mentioning

confidence: 99%

Dynamics, synchronization, and quantum phase transitions of two dissipative spins

Orth¹,

Roosen²,

Hofstetter³

et al. 2010

Phys. Rev. B

109

137

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“…The transition from SB to one CB underlies the capability of entanglement generation discussed in Ref. [14] and a physical implementation of the latter has been proposed recently [15].…”

Section: Systemmentioning

confidence: 99%

Quantum correlations and mutual synchronization

et al. 2012

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We consider the phenomenon of mutual synchronization in a fundamental quantum system of two detuned quantum harmonic oscillators dissipating into the environment. We identify the conditions leading to this spontaneous phenomenon, showing that the ability of the system to synchronize is related to the existence of disparate decay rates and is accompanied by robust quantum discord and mutual information between the oscillators, preventing the leak of information from the system.

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“…As discussed in Ref. [28], depending on the distance between the two oscillators, different modelizations of the system-bath interaction can be done. We will discuss the case of two distant objects, which amounts to considering the coupling with two independent baths, and compare it with the zero-distance scenario (common bath).…”

Section: Model and Master Equationsmentioning

confidence: 99%

Entanglement dynamics of nonidentical oscillators under decohering environments

2010

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We study the evolution of entanglement of a pair of coupled, non-resonant harmonic oscillators in contact with an environment. For both the cases of a common bath and of two separate baths for each of the oscillators, a full master equation is provided without rotating wave approximation. This allows us to characterize the entanglement dynamics as a function of the diversity between the oscillators frequencies and their mutual coupling. Also the correlation between the occupation numbers is considered to explore the degree of quantumness of the system. The singular effect of the resonance condition (identical oscillators) and its relationship with the possibility of preserving asymptotic entanglement are discussed. The importance of the bath's memory properties is investigated by comparing Markovian and non-Markovian evolutions.

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Distance Dependence of Entanglement Generation via a Bosonic Heat Bath

Cited by 60 publications

References 24 publications

Dynamics, synchronization, and quantum phase transitions of two dissipative spins

Dynamics, synchronization, and quantum phase transitions of two dissipative spins

Quantum correlations and mutual synchronization

Entanglement dynamics of nonidentical oscillators under decohering environments

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