Tomogram-based quantifiers of nonclassicality dynamics in Kerr and cubic media

• URL: http://arxiv.org/abs/2605.03746v1
• Date: Mon, 04 May 2026 14:48:02 GMT
• Title: Tomogram-based quantifiers of nonclassicality dynamics in Kerr and cubic media
• Abstract summary: We study coherent, photon-added coherent, and even coherent states evolving in Kerr and cubic nonlinear systems.<n>We find that amplitude damping drives a rapid monotonic decay toward the vacuum, while phase damping allows partial revival features to survive longer.<n>Our results establish homodyne-based quantifiers as powerful, real-time, and experimentally viable tools for tracking nonclassical dynamics in nonlinear optical media.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The reliable quantification of nonclassicality in quantum states under realistic decoherence remains a central challenge in advancing quantum technologies. Conventional quantifiers such as Wigner negativity, Mandel's $Q$-parameter, nonclassical depth, etc., are often experimentally intractable, non-unique, or insensitive to key quantum signatures. We demonstrate that tomogram-based measures, the homodyne nonclassical area and sum tomographic entropy, offer a robust, experimentally accessible alternative for quantifying nonclassicality dynamics, as they can be directly obtained from optical tomograms via balanced homodyne detection, avoiding density matrix reconstruction and ensuring feasibility. We study coherent, photon-added coherent, and even coherent states evolving in Kerr and cubic nonlinear systems, with environmental effects modelled using the Lindblad master equation under amplitude and phase damping. The homodyne nonclassical area, which quantifies the excess quadrature variance beyond that of a coherent state, tracks both the onset and decay of nonclassicality, clearly identifying fractional revivals, wave packet splitting, and macroscopic superpositions. We find that amplitude damping drives a rapid monotonic decay toward the vacuum, while phase damping allows partial revival features to survive longer. Complementing this, the sum tomographic entropy derived from conjugate-quadrature tomograms captures higher-order fractional revivals and phase-space interference through persistent entropy minima under weak damping. Our results establish homodyne-based quantifiers as powerful, real-time, and experimentally viable tools for tracking nonclassical dynamics in nonlinear optical media, offering a compelling alternative to conventional, experimentally challenging measures.

Related papers

• Nonclassical Cutoff Fluctuations in Squeezed-Light-Driven High-Harmonic Generation [0.0]
  We show that amplitude suppresses the shot-to-shot variance of the HHG cutoff below the standard quantum limit.<n>A sub phase-noise contribution from the anti-squeezed quadrature produces a variance minimum near r_opt 1.6, providing a concrete experimental target.
  arXiv  Detail & Related papers  (2026-05-21T02:49:13Z)
• Observation of Universal Spectral Moments and the Dynamic Dispersive-to-Proliferative Transition [22.500854615463314]
  spectral moments provide boundary-robust bulk observables in finite non-Hermitian lattices.<n>We show that local bulk dynamics can remain stable (dispersive) even in a $mathcalPT$-broken spectral regime.<n>These results establish spectral moments as practical bulk descriptors for finite non-Hermitian matter.
  arXiv  Detail & Related papers  (2026-04-30T08:38:46Z)
• Classical simulation of free-fermionic dynamics and quantum chemistry with magic input [0.15554979526414522]
  We show that for a class of paired non-Gaussian fermionic states, quantum simulation primitives can be efficiently approximated to additive error under free-fermionic dynamics.
  arXiv  Detail & Related papers  (2026-04-29T15:42:59Z)
• 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)
• Operational entanglement of collective quantum modes at room temperature [1.5755923640031846]
  We show that entanglement in collective quantum modes is governed by reduced open-system channels rather than by microscopic thermal equilibrium.<n>Our results establish minimal, platform-independent framework connecting collective-mode dynamics, noise injection, distance, and operational certification of macroscopic entanglement.
  arXiv  Detail & Related papers  (2025-12-27T09:27:46Z)
• High-Order Harmonic Generation with Beyond-Semiclassical Emitter Dynamics: A Strong-Field Quantum Optical Heisenberg Picture Approach [0.0]
  We develop an accurately controlled perturbative expansion of the time-evolution operator in the Heisenberg picture.<n>We derive beyond-semiclassical corrections to the emitter dynamics due to the coupling to the quantized electromagnetic field.<n>We find that the degree of squeezing increases with the number of emitters, whereas the photon statistics approaches a classical Poissonian distribution in the many-emitter limit.
  arXiv  Detail & Related papers  (2025-12-16T08:06:57Z)
• Realization of Trapped Ion Dynamics in the Strong-Field Regime and Non-Markovianity [33.781064984238775]
  We experimentally investigate the dynamics of a trapped ion where the Rabi frequency (Omega) approaches the vibrational mode frequency (nu)<n>Using quantum state tomography, we reconstruct the density matrix and track its evolution to assess non-Markovianity.<n>Our findings establish a pathway for using trapped-ion platforms to investigate non-Markovianity, coherent control, and the fundamental behavior of open quantum systems in extreme regimes.
  arXiv  Detail & Related papers  (2025-10-23T11:25:09Z)
• Generalised fractional Rabi problem [35.18016233072556]
  Fractional quantum dynamics provides a natural framework to capture nonlocal temporal behavior and memory effects in quantum systems.<n>In this work, we analyze the physical consequences of fractional-order quantum evolution using a Green's function formulation based on the Caputo fractional derivative.<n>We find that even in the absence of external driving, the static Hamiltonian term induces non-trivial spin dynamics with damping features directly linked to the fractional temporal nonlocality.
  arXiv  Detail & Related papers  (2025-10-09T12:51:57Z)
• Fermat's Spiral-Based Characterization of Squeezed Nonlinear Motional States of Levitated Nanoparticle [33.72751145910978]
  We introduce a nonlinear transformation of the phase-space coordinates using the concept of Fermat's spiral.<n>It removes the state distortion induced by the Duffing-type nonlinearity and enables characterization of the state of motion.<n>The presented scheme enables the separation of the effects of the applied state manipulation, the system's gradual thermalization, and the nonlinearity of the confinement.
  arXiv  Detail & Related papers  (2025-09-18T11:17:35Z)
• Quantum and Semi-Classical Signatures of Dissipative Chaos in the Steady State [0.40498500266986387]
  We investigate the quantum-classical correspondence in open quantum many-body systems using the SU(3) Bose-Hubbard trimer as a minimal model.<n>We show that classical dynamical behavior, as quantified by the sign of the Lyapunov exponent, governs the level statistics of the steady-state density matrix.
  arXiv  Detail & Related papers  (2025-06-17T20:21:06Z)
• Real-time dynamics of false vacuum decay [49.1574468325115]
  We investigate false vacuum decay of a relativistic scalar field in the metastable minimum of an asymmetric double-well potential. We employ the non-perturbative framework of the two-particle irreducible (2PI) quantum effective action at next-to-leading order in a large-N expansion.
  arXiv  Detail & Related papers  (2023-10-06T12:44:48Z)
• Coherent Many-Body Oscillations Induced by a Superposition of Broken Symmetry States in the Wake of a Quantum Phase Transition [0.0]
  quenches through the critical region of quantum phase transitions result in post-transition states populated with topological defects. We identify coherent quantum oscillations induced by such superpositions in observables complementary to the one involved in symmetry breaking. In addition to the obvious fundamental significance of a superposition of different broken symmetry states, quantum coherent oscillations can be used to verify unitarity and test for imperfections of the experimental implementations of quantum simulators.
  arXiv  Detail & Related papers  (2022-01-29T09:44:01Z)

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.