Anti-dynamical Casimir effect with an ensemble of qubits

Monteiro, Lucas Cabrera; Додонов, А. В.

doi:10.1016/j.physleta.2016.02.031

Cited by 11 publications

(13 citation statements)

References 40 publications

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“…However, in Refs. [37][38][39]85] the authors showed that the number of excitations can be reduced instead, in what they called ADCE. This effect consists of coherent annihilation of two system excitations due to the approximate transition |g, n ←→ |e, n − 3 (for n ≥ 3), and takes place for the modulation frequency η ADCE ≈ 3ω − Ω 0 .…”

Section: Model a Atom-field Interactionmentioning

confidence: 99%

“…It was predicted in Refs. [37][38][39] that by properly adjusting the modulation frequency one can induce a coherent photon annihilation from non-vacuum states, in what became known as the anti-dynamical Casimir effect (ADCE). Moreover, by letting the modulation frequency to slowly change with time, effective Landau-Zener transitions may occur between the dressed states of the time-independent Rabi Hamiltonian [40].…”

Section: Introductionmentioning

confidence: 99%

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Antidynamical Casimir effect as a resource for work extraction

2017

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We consider the quantum Rabi model with external time modulation of the atomic frequency, which can be employed to create excitations from the vacuum state of the electromagnetic field as a consequence of the dynamical Casimir effect. Excitations can also be systematically subtracted from the atom-field system by suitably adjusting the modulation frequency, in the so-called antidynamical Casimir effect (ADCE). We evaluate the quantum thermodynamical work and show that a realistic out-of-equilibrium finite-time protocol harnessing ADCE allows for work extraction from the system, whose amount can be much bigger then the modulation amplitude, |WADCE| Ω, in contrast to the case of very slow adiabatic modulations. We provide means to control work extraction in state-of-the-art experimental scenarios, where precise frequency adjustments or complete system isolation may be difficult to attain.

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Section: Model a Atom-field Interactionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Antidynamical Casimir effect as a resource for work extraction

2017

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“…The Anti-DCE behavior [26,27,45] couples the states {|ϕ m+2,D , |ϕ m,−D } and occurs for η (3ω 0 − Ω 0 ) or η (3ω 0 − Ω 0 )/2. Since this regime corresponds to the coherent annihilation of two excitations when the system is initiated in some state (+D), roughly represented by the transition |g, m + 2 ↔ |e, m − 1 , the nickname Anti-DCE seems appropriate.…”

Section: B Dispersive Regimementioning

confidence: 99%

Analytical comparison of the first- and second-order resonances for implementation of the dynamical Casimir effect in nonstationary circuit QED

Silva¹,

Додонов²

2016

J. Phys. A: Math. Theor.

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We investigate analytically and numerically the nonstationary circuit QED setup in which N independent qubits interact with a single mode of the Electromagnetic field confined in a resonator. We consider the harmonic time modulation of some parameter (atomic transition frequency or the atom-field coupling strength) and derive the unitary dynamics up to the second order in the modulation depth for N = 1 and N 1. It is shown that all the resonant phenomena that occur for modulation frequencies ∼ 2ω0 (where ω0 is the cavity frequency) also occur for the halved frequencies. However, in the latter case the associated transition rates are significantly smaller and the modulation of the coupling strength is less effective. The transition rates are evaluated explicitly and the prospects of employing the second-order resonances in the phenomena related to the dynamical Casimir effect are examined.

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“…Photon pairs can also be generated for fractional frequencies 2ν/k due to higher harmonics (for nonmonochromatic modulation [13]) or k-th order effects (for harmonic perturbation [14]), where k is a positive integer. Moreover, when the cavity field is coherently coupled to other quantum subsystems (e. g., multilevels atom or harmonic oscillators [15][16][17]) photons can be generated (or annihilated [18,19]) for several other modulation frequencies at the cost of entangling the subsystems. In particular, a dispersive cyclic qutrit [20][21][22][23][24] * Electronic address: adodonov@fis.unb.br with time-dependent energy splittings permits the generation of photons from vacuum for η ≈ ν and η ≈ 3ν via effective one-and three-photons transitions, respectively [25].…”

Section: Introductionmentioning

confidence: 99%

Dynamical Casimir effect via four- and five-photon transitions using a strongly detuned atom

Додонов

2019

Phys. Rev. A

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The scenario of a single-mode cavity with harmonically modulated frequency is revisited in the presence of strongly detuned qubit or cyclic qutrit. It is found that when the qubit frequency is close to 3ν there is a peak in the photon generation rate via four-photons transitions for the modulation frequency 4ν, where ν is the average cavity frequency. Additional peaks appear for effective fivephotons processes using a cyclic qutrit and the modulation frequency 5ν. These phenomena occur due to the counter-rotating terms and are confirmed by numeric simulations, which indicate their feasibility under weak dissipation.

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Anti-dynamical Casimir effect with an ensemble of qubits

Cited by 11 publications

References 40 publications

Antidynamical Casimir effect as a resource for work extraction

Antidynamical Casimir effect as a resource for work extraction

Analytical comparison of the first- and second-order resonances for implementation of the dynamical Casimir effect in nonstationary circuit QED

Dynamical Casimir effect via four- and five-photon transitions using a strongly detuned atom

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