Critical Quantum Metrology in the Non-Linear Quantum Rabi Model

• URL: http://arxiv.org/abs/2206.08410v1
• Date: Thu, 16 Jun 2022 19:03:28 GMT
• Title: Critical Quantum Metrology in the Non-Linear Quantum Rabi Model
• Authors: Zu-Jian Ying, Simone Felicetti, Gang Liu, and Daniel Braak
• Abstract summary: The quantum Rabi model (QRM) with linear coupling between light mode and qubit exhibits the analog of a second order phase transition for vanishing mode frequency. We show that the QRM including a non-linear coupling term exhibits much higher measurement precisions due to its first order like phase transition at emphfinite frequency.
• Score: 1.875899282042793
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The quantum Rabi model (QRM) with linear coupling between light mode and qubit exhibits the analog of a second order phase transition for vanishing mode frequency which allows for criticality-enhanced quantum metrology in a few-body system. We show that the QRM including a non-linear coupling term exhibits much higher measurement precisions due to its first order like phase transition at \emph{finite} frequency, avoiding the detrimental slowing-down effect close to the critical point of the linear QRM. When a bias term is added to the Hamiltonian, the system can be used as a fluxmeter or magnetometer if implemented in circuit QED platforms.

Related papers

• Prethermal Floquet time crystals in chiral multiferroic chains and applications as quantum sensors of AC fields [41.94295877935867]
  We study the emergence of prethermal Floquet Time Crystal (pFTC) in disordered multiferroic chains. We derive the phase diagram of the model, characterizing the magnetization, entanglement, and coherence dynamics of the system. We also explore the application of the pFTC as quantum sensors of AC fields.
  arXiv  Detail & Related papers  (2024-10-23T03:15:57Z)
• Quantum sensing in Kerr parametric oscillators [0.0]
  Changes in the ground state at a QPT enhance indicators of parameter estimation. In systems that lack a QPT, quantum sensitivity can still be enhanced due to excited-state quantum phase transitions.
  arXiv  Detail & Related papers  (2024-07-19T18:00:00Z)
• Quantum Fisher information and polaron picture for identification of transition coupling in quantum Rabi model [0.6027639313986529]
  We use the quantum Fisher information (QFI) in the quantum Rabi model to identify the transition coupling. An accurate expression for the transition coupling is obtained by the inspiration from the fractional-power-law effect of polaron frequency renormalization.
  arXiv  Detail & Related papers  (2024-03-15T19:49:46Z)
• Mitigating Errors on Superconducting Quantum Processors through Fuzzy Clustering [38.02852247910155]
  A new Quantum Error Mitigation (QEM) technique uses Fuzzy C-Means clustering to specifically identify measurement error patterns. We report a proof-of-principle validation of the technique on a 2-qubit register, obtained as a subset of a real NISQ 5-qubit superconducting quantum processor. We demonstrate that the FCM-based QEM technique allows for reasonable improvement of the expectation values of single- and two-qubit gates based quantum circuits.
  arXiv  Detail & Related papers  (2024-02-02T14:02:45Z)
• Quantum metric and metrology with parametrically-driven Tavis-Cummings models [4.419622364505575]
  We study the quantum metric in a driven Tavis-Cummings model, comprised of multiple qubits interacting with a quantized photonic field. We analytically solved the eigenenergies and eigenstates, and numerically simulated the system behaviors near the critical point.
  arXiv  Detail & Related papers  (2023-12-13T14:20:03Z)
• Universality of critical dynamics with finite entanglement [68.8204255655161]
  We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement. Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
  arXiv  Detail & Related papers  (2023-01-23T19:23:54Z)
• Simulating the Mott transition on a noisy digital quantum computer via Cartan-based fast-forwarding circuits [62.73367618671969]
  Dynamical mean-field theory (DMFT) maps the local Green's function of the Hubbard model to that of the Anderson impurity model. Quantum and hybrid quantum-classical algorithms have been proposed to efficiently solve impurity models. This work presents the first computation of the Mott phase transition using noisy digital quantum hardware.
  arXiv  Detail & Related papers  (2021-12-10T17:32:15Z)
• Enhanced nonlinear quantum metrology with weakly coupled solitons and particle losses [58.720142291102135]
  We offer an interferometric procedure for phase parameters estimation at the Heisenberg (up to 1/N) and super-Heisenberg scaling levels. The heart of our setup is the novel soliton Josephson Junction (SJJ) system providing the formation of the quantum probe. We illustrate that such states are close to the optimal ones even with moderate losses.
  arXiv  Detail & Related papers  (2021-08-07T09:29:23Z)
• Finite-component dynamical quantum phase transitions [0.0]
  We show two types of dynamical quantum phase transitions (DQPTs) in a quantum Rabi model. One refers to distinct phases according to long-time averaged order parameters, the other is focused on the non-analytical behavior emerging in the rate function of the Loschmidt echo. We find the critical times at which the rate function becomes non-analytical, showing its associated critical exponent as well as the corrections introduced by a finite frequency ratio.
  arXiv  Detail & Related papers  (2020-08-31T17:31:17Z)
• Waveguide quantum optomechanics: parity-time phase transitions in ultrastrong coupling regime [125.99533416395765]
  We show that the simplest set-up of two qubits, harmonically trapped over an optical waveguide, enables the ultrastrong coupling regime of the quantum optomechanical interaction. The combination of the inherent open nature of the system and the strong optomechanical coupling leads to emerging parity-time (PT) symmetry. The $mathcalPT$ phase transition drives long-living subradiant states, observable in the state-of-the-art waveguide QED setups.
  arXiv  Detail & Related papers  (2020-07-04T11:02:20Z)
• Anneal-path correction in flux qubits [0.0]
  Quantum annealers require accurate control and optimized operation schemes to reduce noise levels. We study a high coherence four-junction capacitively shunted flux qubit (CSFQ)
  arXiv  Detail & Related papers  (2020-02-25T23:04:07Z)

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.