Driving a dissipative quantum oscillator

Vázquez, Pablo Carlos López

doi:10.1103/physreva.98.042128

Cited by 3 publications

(3 citation statements)

References 47 publications

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“…This would allow to extend the range of validity of the model. Secondly, it may be worthwhile to extend the model by including an external driving [21,44] and/or a secondary heat bath coupled to the qubit. In this context, it may be of interest to gradually change the dynamics of the oscillator from integrable to chaotic by applying periodic kicks [45] and analyze dynamical stability and quantum thermometry in that case.…”

Section: Discussionmentioning

confidence: 99%

Probing the dynamics of an open quantum system via a single qubit

Vázquez

Gorin

2020

J. Phys. A: Math. Theor.

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We investigate the possibility to monitor the dynamics of an open quantum system with the help of a small probe system, coupled via dephasing coupling to the open system of interest. As an example, we consider a dissipative harmonic oscillator and a single qubit as probe system. Qubit plus oscillator are described by a finite temperature quantum master equation, where the dynamics of the whole system can be obtained analytically. We find that the short time behavior of the reduced qubit state (its coherence) provides exhaustive information on the dissipative dynamics of the oscillator. Observing this coherence for two initial states with different out-of-equilibrium temperatures, one can determine all coupling constants and the equilibrium temperature fixed by the external heat bath. In addition, the dephasing coupling to the qubit probe, may be considered as a perturbation of the dissipative oscillator. The corresponding quantum fidelity can be calculated analytically, also. Hence, we find the precise relation between the behavior of the reduced qubit state (its coherence) and that fidelity.

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Section: Discussionmentioning

confidence: 99%

Probing the dynamics of an open quantum system via a single qubit

Vázquez

Gorin

2020

J. Phys. A: Math. Theor.

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“…Secondly, we consider that a two-level system couples with an oscillator system via dephasing coupling σ Z ⊗ P, which could be realizable in superconducting qubit-oscillator devices. [31][32][33] The Hamiltonian of whole system is described as follows:…”

Section: Potential Applicationmentioning

confidence: 99%

Quantum metrology with coherent superposition of two different coded channels*

Xie¹,

Xu²,

Wang³

2021

Chinese Phys. B

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We investigate the advantage of coherent superposition of two different coded channels in quantum metrology. In a continuous variable system, we show that the Heisenberg limit 1/N can be beaten by the coherent superposition without the help of indefinite causal order. And in parameter estimation, we demonstrate that the strategy with the coherent superposition can perform better than the strategy with quantum switch which can generate indefinite causal order. We analytically obtain the general form of estimation precision in terms of the quantum Fisher information and further prove that the nonlinear Hamiltonian can improve the estimation precision and make the measurement uncertainty scale as 1/Nm for m ≥ 2. Our results can help to construct a high-precision measurement equipment, which can be applied to the detection of coupling strength and the test of time dilation and the modification of the canonical commutation relation.

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“…Secondly, we consider that a two-level system couples with an oscillator system via dephasing coupling σ Z ⊗ P , which could be realizable in superconducting qubit-oscillator devices [24][25][26]. The Hamiltonian of whole system is described as…”

mentioning

confidence: 99%

Quantum Metrology with Coherent Superposition of Two Different Coded Channels

Xie,

Xu,

Wang

2020

Preprint

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Driving a dissipative quantum oscillator

Cited by 3 publications

References 47 publications

Probing the dynamics of an open quantum system via a single qubit

Probing the dynamics of an open quantum system via a single qubit

Quantum metrology with coherent superposition of two different coded channels*

Quantum Metrology with Coherent Superposition of Two Different Coded Channels

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