Networks of dissipative quantum harmonic oscillators: A general treatment

Ponte, M. A. de; Mizrahi, S. S.; Moussa, M. H. Y.

doi:10.1103/physreva.76.032101

Cited by 28 publications

(66 citation statements)

References 24 publications

(48 reference statements)

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“…However, as we conclude from the integrals in Eqs. (3), even when the oscillators are coupled to their own reservoirs, we can recover the indirect decay and diffusion channels (nondiagonal elements mn and ϒ mn ) when non-Markovian reservoirs are adopted together with strong interoscillator coupling strengths, i.e., Nλ mn ≈ ω m [2,5]. As will be demonstrated below, the indirect decay and diffusion channels play a central role in the emergence of DFSs for a nonzero-temperature reservoir(s).…”

Section: Density Operator and Wigner Functionmentioning

confidence: 87%

“…Most developments on this topic focus on the case where the network is coupled to reservoir(s) at 0 K, where diffusion is absent [1][2][3][4]. However, exploiting the case of finitetemperature reservoir(s), we have recently studied a chain of harmonic oscillators when either each one is coupled to its own reservoir or all of them are coupled to a common reservoir [5].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

State protection under collective damping and diffusion

Ponte¹,

Mizrahi²,

Moussa³

2011

Phys. Rev. A

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In this paper we provide a recipe for state protection in a network of oscillators under collective damping and diffusion. Our strategy is to manipulate the network topology, i.e., the way the oscillators are coupled together, the strength of their couplings, and their natural frequencies, in order to create a relaxation-diffusion-free channel. This protected channel defines a decoherence-free subspace (DFS) for nonzero-temperature reservoirs. Our development also furnishes an alternative approach to build up DFSs that offers two advantages over the conventional method: it enables the derivation of all the network-protected states at once, and also reveals, through the network normal modes, the mechanism behind the emergence of these protected domains.

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Section: Density Operator and Wigner Functionmentioning

confidence: 87%

Section: Introductionmentioning

confidence: 99%

State protection under collective damping and diffusion

Ponte¹,

Mizrahi²,

Moussa³

2011

Phys. Rev. A

Self Cite

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show abstract

“…[19]. Assuming that the reservoir mode k , coupled to the th cavity with strength η , is described by the creation (annihilation) operator c † k (c k ), the dissipative data bus is described by the Hamiltonian …”

Section: Dissipative Mechanisms Of the Networkmentioning

confidence: 99%

“…We have presented a general treatment of coupled dissipative quantum harmonic oscillators for an arbitrary topology of the network; that is, irrespective of the way the oscillators are coupled together, the strength of their couplings, and their natural frequencies [19]. Within this general treatment, the emergence of relaxation-and decoherence-free subspaces in networks of weakly and strongly coupled resonators has also been addressed [20], as well as a proposal for a quantum memory for the preservation of superposition states against decoherence by their evolution in appropriate topologies of such dissipative bosonic networks [21].…”

Section: Introductionmentioning

confidence: 99%

Engineering interactions for quasiperfect transfer of polariton states through nonideal bosonic networks of distinct topologies

2011

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We present a scheme for quasiperfect transfer of polariton states from a sender to a spatially separated receiver, both composed of high-quality cavities filled by atomic samples. The sender and the receiver are connected by a nonideal transmission channel -the data bus-modelled by a network of lossy empty cavities. In particular, we analyze the influence of a large class of data-bus topologies on the fidelity and transfer time of the polariton state. Moreover, we also assume dispersive couplings between the polariton fields and the data-bus normal modes in order to achieve a tunneling-like state transfer. Such a tunneling-transfer mechanism, by which the excitation energy of the polariton effectively does not populate the data-bus cavities, is capable of attenuating appreciably the dissipative effects of the data-bus cavities. After deriving a Hamiltonian for the effective coupling between the sender and the receiver, we show that the decay rate of the fidelity is proportional to a cooperativity parameter that weighs the cost of the dissipation rate against the benefit of the effective coupling strength. The increase of the fidelity of the transfer process can be achieved at the expense of longer transfer times. We also show that the dependence of both the fidelity and the transfer time on the network topology is analyzed in detail for distinct regimes of parameters. It follows that the data-bus topology can be explored to control the time of the state-transfer process.

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“…Our results follow from the general treatment of a bosonic dissipative network that we have previously presented in Ref. [14], where the network dynamics were investigated, and further used for quantum information purposes [15]. However, differently from our previous developments, we first consider the general model for a network of bosonic nondissipative oscillators and, subsequently, we focus on some of these oscillators (or just one of them) as our system of interest, and treat all the others as a (structured) reservoir.…”

Section: Introductionmentioning

confidence: 99%

Nonperturbative approach to system-reservoir dynamics in the strong-coupling regime and non-Markovian dynamics

et al. 2014

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We present a method to derive an exact master equation for a bosonic system coupled to a set of other bosonic systems, which plays the role of the reservoir, under the strong-coupling regime, i.e., without resorting to either the rotating-wave or secular approximations. Working with phase-space distribution functions, we verify that the dynamics have two different behaviors. Considering that the initial state is a concentrated wave packet in phase space, we see that the center of this wave packet follows classical mechanics while its shape gets distorted. Moreover, we show that this distortion is caused by the counter-rotating terms as well as thermal fluctuations. Finally, we discuss conditions for non-Markovian dynamics.

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Networks of dissipative quantum harmonic oscillators: A general treatment

Cited by 28 publications

References 24 publications

State protection under collective damping and diffusion

State protection under collective damping and diffusion

Engineering interactions for quasiperfect transfer of polariton states through nonideal bosonic networks of distinct topologies

Nonperturbative approach to system-reservoir dynamics in the strong-coupling regime and non-Markovian dynamics

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