Qubit decoherence in dissipative two-photon resonator: real-time instantons and Wigner function

• URL: http://arxiv.org/abs/2512.10921v1
• Date: Thu, 11 Dec 2025 18:47:29 GMT
• Title: Qubit decoherence in dissipative two-photon resonator: real-time instantons and Wigner function
• Authors: V. Yu. Mylnikov, S. O. Potashin, Alex Kamenev,
• Abstract summary: We study the quantum dynamics of a single bosonic cavity subject to two-photon driving and two-photon dissipation.<n>Our work provides a coherent theoretical framework for analyzing quantum bistability, metastability, and decoherence in driven-dissipative nonlinear resonators.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study the quantum dynamics of a single bosonic cavity subject to two-photon driving and two-photon dissipation in the presence of finite detuning. Exploiting a hidden time-reversal symmetry, the Wigner representation and the WKB method, we introduce an effective phase-space potential for description of the steady state. It reveals two attracting points, which are metastable due to quantum fluctuations. By employing the Keldysh real-time path integral formalism, we compute the instanton trajectory governing the quantum activation process between these attractors and establish a fundamental connection with the Wigner representation. This relation unifies the steady-state phase-space description with dynamical quantum activation processes. We also derive an analytical expression for the decoherence rate of the system. Our work provides a coherent theoretical framework for analyzing quantum bistability, metastability, and decoherence in driven-dissipative nonlinear resonators, with direct implications for the design of bosonic qubits and quantum information processing.

Related papers

• Spectroscopy of Quantum Phase Slips: Visualizing Complex Real-Time Instantons [0.0]
  In this work, we show that the phase-slip rate is exponentially sensitive to weak AC perturbations.<n>The spectrum of the system's response -- captured by the so-called logarithmic susceptibility (LS) -- enables a direct observation of characteristic features of real-time instantons.
  arXiv  Detail & Related papers  (2025-12-30T22:35:03Z)
• Nonclassical Driven-Dissipative Dynamics in Collective Quantum Optics [51.56484100374058]
  We study ensembles of interacting quantum emitters coherently driven by a laser field and coupled to photonic structures.<n>We find that off-resonant virtual states may gain population through dissipation, redefining their role in open systems.<n>Our models address challenges like inhomogeneous broadening and decoherence, demonstrating the feasibility of harnessing cooperative light-matter effects for quantum technologies.
  arXiv  Detail & Related papers  (2025-09-12T20:01:55Z)
• Optomechanical Systems with Linear and Quadratic Position Couplings: Dynamics and Optimal Estimation [0.0]
  We study the dynamics of an optomechanical system consisting of a single-mode optical field coupled to a mechanical oscillator.<n>We present a full analytical solution to this quantum mechanical Hamiltonian problem by employing the formalism of two-phonon coherent states.<n>We show that balanced homodyne detection can saturate the quantum Fisher information, thus reaching the ultimate precision bound for estimating the quadratic coupling.
  arXiv  Detail & Related papers  (2025-06-30T18:53:59Z)
• Wave-particle duality ellipse and application in quantum imaging with undetected photons [0.5040487125017779]
  We present a systematic framework to quantify the interplay between coherence and wave-particle duality in generic two-path interference systems.<n>We extend this framework to quantum imaging with undetected photons (QIUP), where both path information and photon interference are inherently linked to spatial object reconstruction.<n>Our results advance the fundamental understanding of quantum duality while offering a practical toolkit for optimizing coherence-driven quantum technologies.
  arXiv  Detail & Related papers  (2025-05-27T17:15:59Z)
• The Influence of Quantum Correlation on the Holonomy of Spatially-Structured Bi-Photons [0.0]
  Entanglement parameters are shown to influence holonomy in two distinct ways. An optical circuit consisting of a pair of misoriented mode converters gives a practical demonstration.
  arXiv  Detail & Related papers  (2024-09-24T19:03:57Z)
• Nonlinear dynamical Casimir effect and Unruh entanglement in waveguide QED with parametrically modulated coupling [83.88591755871734]
  We study theoretically an array of two-level qubits moving relative to a one-dimensional waveguide. When the frequency of this motion approaches twice the qubit resonance frequency, it induces parametric generation of photons and excitation of the qubits. We develop a comprehensive general theoretical framework that incorporates both perturbative diagrammatic techniques and a rigorous master-equation approach.
  arXiv  Detail & Related papers  (2024-08-30T15:54:33Z)
• Amplification of quantum transfer and quantum ratchet [56.47577824219207]
  We study a model of amplification of quantum transfer and making it directed which we call the quantum ratchet model. The ratchet effect is achieved in the quantum control model with dissipation and sink, where the Hamiltonian depends on vibrations in the energy difference synchronized with transitions between energy levels. Amplitude and frequency of the oscillating vibron together with the dephasing rate are the parameters of the quantum ratchet which determine its efficiency.
  arXiv  Detail & Related papers  (2023-12-31T14:04:43Z)
• From geometry to coherent dissipative dynamics in quantum mechanics [68.8204255655161]
  We work out the case of finite-level systems, for which it is shown by means of the corresponding contact master equation. We describe quantum decays in a 2-level system as coherent and continuous processes.
  arXiv  Detail & Related papers  (2021-07-29T18:27:38Z)
• Two-photon resonance fluorescence of two interacting non-identical quantum emitters [77.34726150561087]
  We study a system of two interacting, non-indentical quantum emitters driven by a coherent field. We show that the features imprinted by the two-photon dynamics into the spectrum of resonance fluorescence are particularly sensitive to changes in the distance between emitters. This can be exploited for applications such as superresolution imaging of point-like sources.
  arXiv  Detail & Related papers  (2021-06-04T16:13:01Z)
• Theory of waveguide-QED with moving emitters [68.8204255655161]
  We study a system composed by a waveguide and a moving quantum emitter in the single excitation subspace. We first characterize single-photon scattering off a single moving quantum emitter, showing both nonreciprocal transmission and recoil-induced reduction of the quantum emitter motional energy.
  arXiv  Detail & Related papers  (2020-03-20T12:14:10Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.