Controlling Excitation Inversion of a Cooper Pair Box Interacting with a Nanomechanical Resonator

Valverde, Clodoaldo; Oliveira, Heibbe C. B. de; Avelar, A. T.; Baseia, B.

doi:10.1088/0256-307x/29/8/080303

Cited by 6 publications

(7 citation statements)

References 68 publications

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“…and χ(t) = χ 0 +εf (t) [23,24]. In addition we consider the presence of the term κ(t) standing for the time-dependent loss affecting the CPB, the term δ(t) being the same for the NR, and χ(t) is the response time of the Kerr medium.…”

Section: The Hamiltonian Systemmentioning

confidence: 99%

Using a hybrid system (Cooper pair box plus nanomechanical resonator) in the presence of Kerr nonlinearities and losses to control the entropy of the subsystems

Valverde

Castro

Baseia

2016

Optics Communications

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We consider the Jaynes-Cummings model describing the interaction of a Cooper pair box (CPB ) and a nanoresonator (NR) in the presence of a Kerr medium and losses The evolution of the entropy of both subsystems and the CPB population inversion were calculated numerically. It is found that these properties increase when the NR frequency is time-dependent, even in the presence of losses; the effect is very sensitive to detuning and disappears in the resonant regime. The roles played by the losses affecting the CPB and the NR are also compared.

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Section: The Hamiltonian Systemmentioning

confidence: 99%

Using a hybrid system (Cooper pair box plus nanomechanical resonator) in the presence of Kerr nonlinearities and losses to control the entropy of the subsystems

Valverde

Castro

Baseia

2016

Optics Communications

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“…The recent interest in the study of the cavity quantum electrodynamics type systems such as a superconducting qubit can open new ways for studying the interaction between light and solid-state quantum devices [3,4]. Various theoretical and experimental works have discussed the interaction between superconducting qubits with either quantized [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19] or classical fields [20][21][22]. In references [5,6] the model proposed including these ingredients and using some adequate approximations which allow for the linearization of the interaction and nonclassical states of the field are generated.…”

Section: Introductionmentioning

confidence: 99%

Preparation of a superposition of squeezed coherent states of a cavity field via coupling to a superconducting charge qubit

Freitas¹

2020

Sitientibus-Fisica

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The generation of nonclassical states of a radiation field has become increasingly important in the past years given its various applications in quantum communication. It has been recently proposed a way to engineer quantum states using a SQUID charge qubit inside a cavity with a controllable interaction between the cavity field and the charge qubit. Since decoherence is known to affect quantum effects uninterruptedly and decoherence process are working even when the quantum state is being formed, therefore, is interesting to envisage processes through which quantum superpositions are generated as fast as possible. We succeed in linearizing the Hamiltonian of the system through the application of an appropriate unitary transformation and for certain values of the parameters involved, we show that it is possible to obtain specific Hamiltonians. In this work we will use this approach for preparing superposition of two squeezed coherent states.

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“…The recent interest in the study of the cavity quantum electrodynamics type systems such as a superconducting qubit can open new ways for studying the interaction between light and solid-state quantum devices. 3,4 Various theoretical and experimental works have discussed the interaction between superconducting qubits with either quantized [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19] or classical fields. [20][21][22] Recently, it has been proposed a way to project quantum states using a superconducting quantum device (SQUID) charge qubit inside a cavity 5,6 with a controllable interaction between the cavity field and the charge qubit.…”

Section: Introductionmentioning

confidence: 99%

Preparation of a superposition of squeezed coherent states of a cavity field via coupling to a superconducting charge qubit

Freitas¹

2020

Preprint

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The generation of nonclassical states of a radiation field has become increasingly important in the past years given its various applications in quantum communication. The feasibility of generating such nonclassical states has been established in several branches of physics such as cavity electrodynamics, trapped ions, quantum dots, atoms inside cavities and so on. In this sense, we will discuss the issue of the generation of nonclassical states in the context of a superconducting qubit in a microcavity. It has been recently proposed a way to engineer quantum states using a SQUID charge qubit inside a cavity with a controllable interaction between the cavity field and the charge qubit. The key ingredients to engineer these quantum states are a tunable gate voltage and a classical magnetic field applied to SQUID. In Ref. [Yu-xi Liu, L. F. Wei, and F. Nori, Europhys. Lett., 67, 941 (2004)] it was proposed a model including these ingredients and using some appropriate approximations which allow for the linearization of the interaction and nonclassical states of the field were generated. Since decoherence is known to affect quantum effects uninterruptedly and decoherence process are works even when the quantum state is being formed, therefore, it is interesting to envisage processes through which quantum superpositions are generated as fast as possible. The decoherence effect has been studied and quantified in the context of cavity QED where it is shown that the more quantum is the superposition, more rapidly the environmental effects occur during the process of creating the quantum state. In a previous work we have showed that the contribution of nonlinear interaction is essential to shorten the time necessary to build the quantum state and we have presented an approach for preparing a Schrödinger cat (SC) states of mode of cavity field interacting with a superconducting charge qubit [D. S. Freitas, and M. C. Nemes, Modern Physics Letters B, 28, 10 (2014)]. In the latter reference, we have succeeded in linearizing the Hamiltonian through the application of an appropriate unitary transformation and for certain values of the parameters involved, we have showed that it is possible to obtain specific Hamiltonians. In this work we will use such approach for preparing superposition of two squeezed coherent states.

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Controlling Excitation Inversion of a Cooper Pair Box Interacting with a Nanomechanical Resonator

Cited by 6 publications

References 68 publications

Using a hybrid system (Cooper pair box plus nanomechanical resonator) in the presence of Kerr nonlinearities and losses to control the entropy of the subsystems

Using a hybrid system (Cooper pair box plus nanomechanical resonator) in the presence of Kerr nonlinearities and losses to control the entropy of the subsystems

Preparation of a superposition of squeezed coherent states of a cavity field via coupling to a superconducting charge qubit

Preparation of a superposition of squeezed coherent states of a cavity field via coupling to a superconducting charge qubit

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