Quantum gravimetry with intrinsic quantum time uncertainty

• URL: http://arxiv.org/abs/2604.24792v1
• Date: Sat, 25 Apr 2026 16:14:04 GMT
• Title: Quantum gravimetry with intrinsic quantum time uncertainty
• Abstract summary: We study quantum gravimetry when the interrogation time carries intrinsic uncertainty.<n>For linearly gravity-coupled gravimeters, we obtain the effective gravity information by profiling the interrogation time.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study quantum gravimetry when the interrogation time carries intrinsic uncertainty, motivated by a fundamental limit on temporal resolution associated with the energy--time uncertainty relation. For linearly gravity-coupled gravimeters, we obtain the effective gravity information by profiling the interrogation time from the two-parameter quantum Fisher information (QFI) matrix. In this class, the time-information block is quadratic in the gravitational parameter, and for quadratic background dynamics, the gravity--time cross term becomes affine in $g$. These properties yield a normalized expression for the fraction of standard single-parameter gravity QFI that remains once interrogation time is treated as a nuisance parameter, with an affine numerator and a Lorentzian denominator. We work out these results in three benchmark models: a freely falling Gaussian wavepacket, the Kasevich--Chu light-pulse atom interferometer, and an idealized closed-unitary optomechanical model. The Gaussian free-fall benchmark yields an exact closed-form expression for the effective gravity information and shows explicitly how nuisance-time profiling suppresses the momentum-spread-dependent part of the standard single-parameter gravity QFI. In the Kasevich--Chu interferometer, internal state population readout gives a rank-deficient measured two-parameter geometry unless independent timing information is supplied, whereas full access to the final motional and internal states restores a full-rank geometry with retention controlled by the competition between initial velocity spread and gravitationally accumulated motion. In atom-interferometric benchmarks, the framework yields explicit conditions for minimizing nuisance-time information loss, together with corresponding constraints on momentum spread, spatial localization, and long-interrogation-time operation.

Related papers

• Newtonian Gravitational Curvature-Induced Entanglement Generation [0.9590956574213351]
  We show that gravitational curvature can control the generation of nonlocal quantum correlations in a hybrid qubit-mechanical device.<n>The scheme demonstrates gravitational control of a quantum interaction and provides a route to curvature sensing based on a nonlocal two-qubit phase.
  arXiv  Detail & Related papers  (2026-08-30T22:50:38Z)
• Monitored free fermions under periodic driving [42.078441758883635]
  We investigate periodically driven free-fermionic systems subjected to monitoring of the local particle density.<n>We use the nonlinear sigma-model (NLSM) to explain the long-wavelength physics of the time-dependent Hamiltonian.<n>Our results provide a unified analytical and numerical framework for understanding the effects of monitoring in time-modulated fermionic systems.
  arXiv  Detail & Related papers  (2026-08-22T08:10:12Z)
• Symmetry Constrained Quantum Error Mitigation for the Schwinger Model [39.146761527401424]
  We exploit the parity and fermion-number symmetries of a gauge theory under depolarising noise.<n>We investigate symmetry verification under digital quantum simulation.
  arXiv  Detail & Related papers  (2026-08-21T13:49:11Z)
• Relativistic Gravity-Induced Entanglement via Frame Dragging [6.198237241838559]
  We study gravity-induced entanglement generated by frame dragging in an interferometric setting.<n>We compute the entanglement phase between the rotational degrees of freedom of a source mass and the paths of a particle.<n>The resulting entanglement would witness non-classicality of the gravitational interaction.
  arXiv  Detail & Related papers  (2026-06-30T13:55:26Z)
• Fundamental Irreversibility from Discrete Time [0.0]
  In 1964, Yu. A. Gol'fand proposed an extension of quantum mechanics to discrete time, predicting intrinsic non-unitarity and entropy increase.<n>We rigorously recast Gol'fand's discrete evolution equation as a Completely Positive Trace-Preserving quantum channel.<n>We quantify the loss of quantum coherence via fidelity decay and purity loss, establishing exact constraints for fault-tolerant quantum computing.
  arXiv  Detail & Related papers  (2026-06-20T18:33:13Z)
• Quantum optomechanics of lossy bodies: general approach and structured squeezed vacuum effects [51.56484100374058]
  We investigate the overall optomechanical force experienced by a macroscopic lossy object in free space under external quantum illumination.<n>By driving the scattering field with an anisotropic, multimode squeezed vacuum state, the spatial profile of the electromagnetic quantum fluctuations can be engineered to exhibit broken rotational symmetry.<n>We establish a general formalism for macroscopic quantum optomechanics that operates beyond the constraints of thermal equilibrium.
  arXiv  Detail & Related papers  (2026-04-07T13:25:43Z)
• Zeno-Constrained Formation of Relativistic Mass Shells [0.0]
  We study an extension of the quantum linear Boltzmann equation describing irreversible momentum-space dynamics of an open quantum system.<n>The monitored observable is taken to be a quadratic form in an extended, purely Euclidean four-dimensional momentum space.<n>In the resulting quantum Zeno regime, rapid suppression of off-constraint excursions allows for an adiabatic elimination of fast degrees of freedom.
  arXiv  Detail & Related papers  (2026-03-30T20:17:51Z)
• Time Symmetry, Retrocausality, and Emergent Collapse: The Tlalpan Interpretation of Quantum Mechanics [51.56484100374058]
  The Tlalpan Interpretation (QTI) proposes that the wavefunction collapse is not a primitive, axiomatic rule but an emergent phenomenon.<n>The novelty of QTI lies in its embedding of collapse within the conceptual language of critical phenomena in statistical physics.
  arXiv  Detail & Related papers  (2025-08-25T20:30:56Z)
• Quantum arrival times in free fall [0.0]
  We show that for a Gaussian quantum particle of mass $m$ dropped in a uniform gravitational field $g$, the uncertainties about time and position measurements are related by the relation $ Delta T_x Delta X_t geq frachbar2mg.
  arXiv  Detail & Related papers  (2025-02-28T18:26:40Z)
• Time-dependent Neural Galerkin Method for Quantum Dynamics [39.63609604649394]
  We introduce a classical computational method for quantum dynamics that relies on a global-in-time variational principle.<n>Our scheme computes the entire state trajectory over a finite time window by minimizing a loss function that enforces the Schr"odinger's equation.<n>We showcase the method by simulating global quantum quenches in the paradigmatic Transverse-Field Ising model in both 1D and 2D.
  arXiv  Detail & Related papers  (2024-12-16T13:48:54Z)
• Temporal Entanglement Barriers in Dual-Unitary Clifford Circuits with Measurements [0.0]
  We study temporal entanglement in dual-unitary Clifford circuits with probabilistic measurements preserving spatial unitarity. We precisely characterize the temporal entanglement barrier in the measurement-free regime, exhibiting ballistic growth and decay and a volume-law peak.
  arXiv  Detail & Related papers  (2024-04-22T17:24:40Z)
• Measurement events relative to temporal quantum reference frames [44.99833362998488]
  We compare two consistent approaches to the Page-Wootters formalism to clarify the operational meaning of evolution and measurements.<n>We show that for non-ideal clocks, the purified measurement approach yields a time non-local evolution equation.<n>We argue that these approaches describe operationally distinct situations.
  arXiv  Detail & Related papers  (2023-08-21T18:26:12Z)
• WKB approach to the gravity-matter dynamics: a cosmological implementation [0.0]
  We propose a different model for the quantization of the gravity-matter system. The time parameter is defined via an additional term, i.e. the kinematical action, which acts as a clock for quantum matter. It is shown with a WKB expansion that quantum gravity corrections to the matter dynamics arise at the next order of expansion, and such contributions are unitary.
  arXiv  Detail & Related papers  (2021-10-09T17:32:39Z)

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.