Quantum thermodynamics of two bosonic systems

Macchiavello, Chiara; Riccardi, Alberto; Sacchi, Massimiliano F.

doi:10.1103/physreva.101.062326

Cited by 8 publications

(7 citation statements)

References 46 publications

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“…We also notice that an extensive study of such thermodynamical coupling, especially for general Gaussian bipartite states, has been recently put forward in Ref. [69]. In what follows the phase ϕ is irrelevant, hence we pose ϕ = 0.…”

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confidence: 95%

Thermodynamic uncertainty relations for bosonic Otto engines

Sacchi

2021

Phys. Rev. E

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confidence: 95%

Thermodynamic uncertainty relations for bosonic Otto engines

Sacchi

2021

Phys. Rev. E

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“…The set of operations with this property are known as Gaussian completely positive maps (GCP maps) or channels, being useful to describe noise and decoherence effects on input Gaussian states. The complete characterization of GCP maps on input Gaussian states can be represented by [8] σ → F σ F T + G, (5) with F and G two 2N ×2N real matrices satisfying the relation G +i ≥ iF F T where = 0 1 −1 0 . Among different GCP maps which can be implemented, we are interested in the well-known attenuation and amplification channels, also called phase-insensitive Gaussian channels, which are responsible by many optical processes of interest in quantum information theory [1][2][3].…”

Section: Gaussian States and Gaussian Channelsmentioning

confidence: 99%

“…They are experimental accessed in platforms such as quantum optics [25] and trapped ions [26]. Their modern applications ranging from quantum information theory [1][2][3] to quantum thermodynamics [5,6]. In order to characterize the class of Gaussian states, we define the quadrature operators vec-tor R = (q 1 , p 1 , ...q N , p N ), where N is the number of modes of a given system, and (q, p) stand for position and momentum, respectively.…”

Section: Gaussian States and Gaussian Channelsmentioning

confidence: 99%

“…In the last years, considerable effort has been dedicated to the comprehension and application of bosonic continuous variables. The interest ranges from quantum information theory [1][2][3], with direct implications in quantum communication and quantum computation [4], to quantum thermodynamics [5], where bosonic systems may work as working substance in quantum heat machines models [6] and employed as ancillary systems in structured thermal reservoir designs [7]. As in general a system of interest is constantly interacting with its surrounding, bosonic Gaussian channels are particularly powerful to describe noise and decoherence in optical systems.…”

Section: Introductionmentioning

confidence: 99%

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Coherence dynamics induced by attenuation and amplification Gaussian channels

Santos

Vieira

2021

Eur. Phys. J. Plus

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Quantum Gaussian channels play a key role in quantum information theory. In particular, the attenuation and amplification channels are useful to describe noise and decoherence effects on continuous variables systems. They are directly associated with the beam splitter and two-mode squeezing operations, which have operational relevance in quantum protocols with bosonic models. An important property of these channels is that they are Gaussian completely positive maps, and the action on a general input state depends on the parameters characterizing the channels. In this work, we study the coherence dynamics introduced by these channels on input Gaussian states. We derive explicit expressions for the coherence depending on the parameters describing the channels. By assuming a displaced thermal state with initial coherence as input state, for the attenuation case it is observed a revival of the coherence as a function of the transmissivity coefficient, whereas for the amplification channel the coherence reaches asymptotic values depending on the gain coefficient. Further, we obtain the entropy production for these classes of operations, showing that it can be reduced by controlling the parameters involved. We write a simple expression for computing the entropy production due to the coherence for both channels. This can be useful to simulate many processes in quantum thermodynamics, as finite-time driving on bosonic modes.

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“…Intrinsic temperature generalizes the temperature concept to nonthermal states that cannot be written in Gibbsian forms and hence useful for finite size nonthermal reservoirs. Application of intrinsic temperature concept to the case of a system of two bosonic modes where one mode acts as a finite size bath to the other has been discussed quite recently [57].…”

Section: Zeroth Law Of Quantum Thermodynamicsmentioning

confidence: 99%

Quantum thermodynamics and quantum coherence engines

Tuncer

Müstecaplıoğlu²

2020

Turk J Phys

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The advantages of quantum effects in several technologies, such as computation and communication, have already been well appreciated. Some devices, such as quantum computers and communication links, exhibiting superiority to their classical counterparts, have been demonstrated. The close relationship between information and energy motivates us to explore if similar quantum benefits can be found in energy technologies. Investigation of performance limits for a broader class of information-energy machines is the subject of the rapidly emerging field of quantum thermodynamics. Extension of classical thermodynamical laws to the quantum realm is far from trivial. This short review presents some of the recent efforts in this fundamental direction. It focuses on quantum heat engines and their efficiency bounds when harnessing energy from nonthermal resources, specifically those containing quantum coherence and correlations.

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Quantum thermodynamics of two bosonic systems

Cited by 8 publications

References 46 publications

Thermodynamic uncertainty relations for bosonic Otto engines

Thermodynamic uncertainty relations for bosonic Otto engines

Coherence dynamics induced by attenuation and amplification Gaussian channels

Quantum thermodynamics and quantum coherence engines

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