Quantum states transfer between coupled fields

Portes, D.; Rodrigues, H.; Duarte, S. B.; Baseia, B.

doi:10.1140/epjd/e2008-00088-0

Cited by 9 publications

(11 citation statements)

References 27 publications

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“…The case c ≪ ω is usually assumed in quantum optics, and periodical transfer of states occurs at t = (m + 1/2)π/c, with m = m 2 − m 1 being an arbitrary integer, which recovers our result in Ref. [3].…”

Section: Final Remarks and Conclusionsupporting

confidence: 86%

“…These examples and that of Ref. [3] constitute some applications of the Hamiltonian model (21). Besides the HOs and field modes, applications can be extended to nanotechnological devices as superconducting quantum circuits based on Cooper pair boxes, nanoresonators, etc.…”

Section: Coherent State Propagationmentioning

confidence: 94%

“…Among the various interesting problems studied in quantum optics one may cite (and distinguish) the teleportation of states between two (non interacting) quantum systems [1], from one subsystem to the other, and alternatively, the transfer of states between (interacting) quantum systems [2,3]. In the first case the process occurs crucially due to the intervention of an entangled state that describes a combined bipartite system.…”

Section: Introductionmentioning

confidence: 99%

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Perfect transfer of quantum states in a network of harmonic oscillators

Portes¹,

Rodrigues²,

Duarte

et al. 2013

Eur. Phys. J. D

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Abstract. This work presents an exactly soluble scheme to address the problem of optimal transfer of quantum states through a set of s harmonic oscillators composing a network with connected ends as a closed quantum circuit. For this purpose we start from a general quadratic Hamiltonian form. The relationship between the parameters of the Hamiltonian, the network size, and the time interval required for such transfer are explicitly shown. Particular physical realizations of this Hamiltonian, transfer of entangled states, including transfer of states at the expense of a quantum entanglement, are also considered.

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Section: Final Remarks and Conclusionsupporting

confidence: 86%

Section: Coherent State Propagationmentioning

confidence: 94%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Perfect transfer of quantum states in a network of harmonic oscillators

Portes¹,

Rodrigues²,

Duarte

et al. 2013

Eur. Phys. J. D

Self Cite

View full text Add to dashboard Cite

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“…Let us now proceed with our main computation. We first note that the problem of computing the time evolution with the Hamiltonian (4) has been so far addressed only in certain particular cases, where ω a = ω b and g bs = g sq in [8], for g sq = 0 (i.e., the rotating wave approximation) and for λ a = λ b = 0 in [28,29]. General methods have also been put forward using Lie algebra approaches [11,12]; however, exact solutions are typically difficult to obtain in this way.…”

Section: A Time Evolution Of the System: Full Couplingmentioning

confidence: 99%

General solution of the time evolution of two interacting harmonic oscillators

et al. 2021

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We study the time evolution of an ideal system composed of two harmonic oscillators coupled through a quadratic Hamiltonian with arbitrary interaction strength. We solve its dynamics analytically by employing tools from symplectic geometry. In particular, we use this result to completely characterize the dynamics of the two oscillators interacting in the ultrastrong-coupling regime with additional single-mode squeezing on both oscillators, as well as higher-order terms. Furthermore, we compute quantities of interest, such as the average number of excitations and the correlations that are established between the two subsystems due to the evolution. We find that this model predicts a second-order phase transition and we compute the critical exponents and the critical value. We also provide an exact decoupling of the time evolution in terms of simple quantum optical operations, which can be used for practical implementations and studies. Finally, we show how our techniques can be extended to include more oscillators and higher-order interactions.

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“…Time evolution of the system: full coupling Let us now proceed with our main computation. We first note that the problem of computing the time evolution with the Hamiltonian (3) has been been already solved for ω a = ω and g bs = g sq in [5], and for g sq = 0 (i.e., the rotating wave approximation) in [24]. General methods have also been put forward using Lie algebra approaches [7,8], however, exact solutions are typically difficult to obtain in this way.…”

Section: Time Evolution Of the Systemmentioning

confidence: 99%

General solution of the time evolution of two interacting harmonic oscillators

Bruschi,

Paraoanu,

Fuentes

et al. 2019

Preprint

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We study the time evolution of an ideal system composed of two harmonic oscillators coupled through a quadratic Hamiltonian with arbitrary interaction strength. We solve the dynamics analytically by employing Lie algebraic tools that allow to decouple the time-evolution operator induced by quadratic Hamiltonians. In particular, we use this result to completely chracterize the dynamics of the two oscillators interacting in the ultrastrong coupling regime. Furthermore, we compute quantities of interest, such as the average number of excitations and the correlations that are established between the two subsystems due to the evolution. We also provide an exact decoupling of the time evolution in terms of simple quantum optical operations, which can be used for practical implementations and studies. Finally, we show how our techniques can be extended to include more oscillators and higher order interactions.

show abstract

Quantum states transfer between coupled fields

Cited by 9 publications

References 27 publications

Perfect transfer of quantum states in a network of harmonic oscillators

Perfect transfer of quantum states in a network of harmonic oscillators

General solution of the time evolution of two interacting harmonic oscillators

General solution of the time evolution of two interacting harmonic oscillators

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