From dynamical to steady-state many-body metrology: Precision limits and their attainability with two-body interactions

• URL: http://arxiv.org/abs/2412.02754v1
• Date: Tue, 03 Dec 2024 19:00:05 GMT
• Title: From dynamical to steady-state many-body metrology: Precision limits and their attainability with two-body interactions
• Authors: Ricard Puig, Pavel Sekatski, Paolo Andrea Erdman, Paolo Abiuso, John Calsamiglia, Martí Perarnau-Llobet,
• Abstract summary: We consider the estimation of an unknown parameter $theta$ via a many-body probe. We present bounds on the Quantum Fisher Information, and corresponding optimal interacting Hamiltonians. We then move to the specific problem of estimating the strength of a magnetic field via interacting spins and derive two-body interacting Hamiltonians.
• Score: 0.0
• License:
• Abstract: We consider the estimation of an unknown parameter $\theta$ via a many-body probe. The probe is initially prepared in a product state and many-body interactions enhance its $\theta$-sensitivity during the dynamics and/or in the steady state. We present bounds on the Quantum Fisher Information, and corresponding optimal interacting Hamiltonians, for two paradigmatic scenarios for encoding $\theta$: (i) via unitary Hamiltonian dynamics (dynamical metrology), and (ii) in the Gibbs and diagonal ensembles (time-averaged dephased state), two ubiquitous steady states of many-body open dynamics. We then move to the specific problem of estimating the strength of a magnetic field via interacting spins and derive two-body interacting Hamiltonians that can approach the fundamental precision bounds. In this case, we additionally analyze the transient regime leading to the steady states and characterize tradeoffs between equilibration times and measurement precision. Overall, our results provide a comprehensive picture of the potential of many-body control in quantum sensing.

Related papers

• Exploiting the presence of chiral spin states in molecular nanomagnets [47.41699406259656]
  In a three-spin-center system, antiferromagnetic exchange interactions give rise to two ground-state doublets. We explore the presence of spin-chirality in Lanthanide complexes that feature two magnetic centers.
  arXiv  Detail & Related papers  (2025-01-21T08:23:12Z)
• Generalized hydrodynamics of integrable quantum circuits [0.0]
  We study the integrable Trotterization of a prototypical integrable model, the XXZ Heisenberg spin chain. We find that a single microscopic defect at the junction, such as the addition of a single qubit, may change the nonequilibrium macrostate appearing at late time.
  arXiv  Detail & Related papers  (2024-08-01T11:25:26Z)
• Finding the Dynamics of an Integrable Quantum Many-Body System via Machine Learning [0.0]
  We study the dynamics of the Gaudin magnet ("central-spin model") using machine-learning methods. Motivated in part by this intuition, we use a neural-network representation for each variational eigenstate of the model Hamiltonian. Having an efficient description of this susceptibility opens the door to improved characterization and quantum control procedures for qubits interacting with an environment of quantum two-level systems.
  arXiv  Detail & Related papers  (2023-07-06T21:49:01Z)
• Robust Hamiltonian Engineering for Interacting Qudit Systems [50.591267188664666]
  We develop a formalism for the robust dynamical decoupling and Hamiltonian engineering of strongly interacting qudit systems. We experimentally demonstrate these techniques in a strongly-interacting, disordered ensemble of spin-1 nitrogen-vacancy centers.
  arXiv  Detail & Related papers  (2023-05-16T19:12:41Z)
• Slow semiclassical dynamics of a two-dimensional Hubbard model in disorder-free potentials [77.34726150561087]
  We show that introduction of harmonic and spin-dependent linear potentials sufficiently validates fTWA for longer times. In particular, we focus on a finite two-dimensional system and show that at intermediate linear potential strength, the addition of a harmonic potential and spin dependence of the tilt, results in subdiffusive dynamics.
  arXiv  Detail & Related papers  (2022-10-03T16:51:25Z)
• Probing dynamics of a two-dimensional dipolar spin ensemble using single qubit sensor [62.997667081978825]
  We experimentally investigate individual spin dynamics in a two-dimensional ensemble of electron spins on the surface of a diamond crystal. We show that this anomalously slow relaxation rate is due to the presence of strong dynamical disorder. Our work paves the way towards microscopic study and control of quantum thermalization in strongly interacting disordered spin ensembles.
  arXiv  Detail & Related papers  (2022-07-21T18:00:17Z)
• Spreading of a local excitation in a Quantum Hierarchical Model [62.997667081978825]
  We study the dynamics of the quantum Dyson hierarchical model in its paramagnetic phase. An initial state made by a local excitation of the paramagnetic ground state is considered. A localization mechanism is found and the excitation remains close to its initial position at arbitrary times.
  arXiv  Detail & Related papers  (2022-07-14T10:05:20Z)
• Linear Response for pseudo-Hermitian Hamiltonian Systems: Application to PT-Symmetric Qubits [0.0]
  We develop the linear response theory formulation suitable for application to various pHH systems. We apply our results to two textitPT-symmetric non-Hermitian quantum systems.
  arXiv  Detail & Related papers  (2022-06-18T10:05:30Z)
• Quantum probes for the characterization of nonlinear media [50.591267188664666]
  We investigate how squeezed probes may improve individual and joint estimation of the nonlinear coupling $tildelambda$ and of the nonlinearity order $zeta$. We conclude that quantum probes represent a resource to enhance precision in the characterization of nonlinear media, and foresee potential applications with current technology.
  arXiv  Detail & Related papers  (2021-09-16T15:40:36Z)
• Static and dynamic properties of a few spin $1/2$ interacting fermions trapped in an harmonic potential [0.0]
  We study the properties of a few interacting spin $1/2$ fermions trapped in a harmonic oscillator potential. Results obtained by means of exact diagonalization techniques are combined with analytical expressions for both the non-interacting and strongly interacting regime.
  arXiv  Detail & Related papers  (2020-05-21T20:22:09Z)

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.