Quantifying two-mode entanglement of bosonic Gaussian states from their full counting statistics

• URL: http://arxiv.org/abs/2503.09555v1
• Date: Wed, 12 Mar 2025 17:16:57 GMT
• Title: Quantifying two-mode entanglement of bosonic Gaussian states from their full counting statistics
• Authors: Victor Gondret, Clothilde Lamirault, Rui Dias, Charlie Leprince, Christoph I. Westbrook, David Clément, Denis Boiron,
• Abstract summary: We show that the two- and four-body number correlations are sufficient to fully characterize the entanglement of two-mode bosonic Gaussian states.<n>Our findings are of great importance because it becomes possible to reveal entanglement in a series of recent experiments.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study the entanglement properties of two-mode bosonic Gaussian states from their multi-mode counting statistics. We introduce the idea that measuring high-order correlations of particle numbers can reveal entanglement without making any assumptions about the coherence of the fields. In particular, we show that the two- and four-body number correlations are sufficient to fully characterize the entanglement of two-mode bosonic Gaussian states for which each mode exhibits a thermal distribution. In addition, we derive an entanglement witness based on two-body correlations alone. Our findings are of great importance because it becomes possible to reveal entanglement in a series of recent experiments.

Related papers

• Experimental investigation of heralded Gaussification of phase-randomized coherent states of light [0.0]
  Probabilistic heralded Gaussification of quantum states of light is an important ingredient of protocols for distillation of continuous variable entanglement and squeezing. Here we report on experimental investigation of the convergence properties of iterative heralded Gaussification.
  arXiv  Detail & Related papers  (2024-12-14T21:10:43Z)
• Non-Gaussian generalized two-mode squeezing: applications to two-ensemble spin squeezing and beyond [0.0]
  We show that the basic structure of these states can be generalized to arbitrary bipartite quantum systems.<n>We show that these general states can always be stabilized by a relatively simple Markovian dissipative process.
  arXiv  Detail & Related papers  (2024-06-30T15:03:29Z)
• Microwave control of collective quantum jump statistics of a dissipative Rydberg gas [24.677576227304854]
  Quantum many-body systems near phase transitions respond collectively to externally applied perturbations. We explore this phenomenon in a laser-driven dissipative Rydberg gas tuned to a bistable regime. Our study demonstrates the control of collective statistical properties of dissipative quantum many-body systems without the necessity of fine-tuning or of ultra cold temperatures.
  arXiv  Detail & Related papers  (2024-02-07T13:06:11Z)
• Evolution of many-body systems under ancilla quantum measurements [58.720142291102135]
  We study the concept of implementing quantum measurements by coupling a many-body lattice system to an ancillary degree of freedom. We find evidence of a disentangling-entangling measurement-induced transition as was previously observed in more abstract models.
  arXiv  Detail & Related papers  (2023-03-13T13:06:40Z)
• Dilute neutron star matter from neural-network quantum states [58.720142291102135]
  Low-density neutron matter is characterized by the formation of Cooper pairs and the onset of superfluidity. We model this density regime by capitalizing on the expressivity of the hidden-nucleon neural-network quantum states combined with variational Monte Carlo and reconfiguration techniques.
  arXiv  Detail & Related papers  (2022-12-08T17:55:25Z)
• Full-counting statistics of corner charge fluctuations [0.0]
  We derive nonperturbative relations for the area law, showing how it is determined by geometric moments of the correlation function. We find that the odd cumulants' shape dependence differs from the even ones. We examine the relation between even cumulants and the R'enyi entanglement entropy, where we use new results for the fractional state at filling 1/3 to compare these quantities in the strongly interacting regime.
  arXiv  Detail & Related papers  (2022-11-09T19:17:39Z)
• Statistical Properties of the Entropy from Ordinal Patterns [55.551675080361335]
  Knowing the joint distribution of the pair Entropy-Statistical Complexity for a large class of time series models would allow statistical tests that are unavailable to date. We characterize the distribution of the empirical Shannon's Entropy for any model under which the true normalized Entropy is neither zero nor one. We present a bilateral test that verifies if there is enough evidence to reject the hypothesis that two signals produce ordinal patterns with the same Shannon's Entropy.
  arXiv  Detail & Related papers  (2022-09-15T23:55:58Z)
• Quantum chaos and thermalization in the two-mode Dicke model [77.34726150561087]
  We discuss the onset of quantum chaos and thermalization in the two-mode Dicke model. The two-mode Dicke model exhibits normal to superradiant quantum phase transition. We show that the temporal fluctuations of the expectation value of the collective spin observable around its average are small and decrease with the effective system size.
  arXiv  Detail & Related papers  (2022-07-08T11:16:29Z)
• Phase Diagram Detection via Gaussian Fitting of Number Probability Distribution [0.0]
  We investigate the number probability density function that characterizes sub-portions of a quantum many-body system with globally conserved number of particles. We put forward a linear fitting protocol capable of mapping out the ground-state phase diagram of the rich one-dimensional extended Bose-Hubbard model.
  arXiv  Detail & Related papers  (2022-07-04T15:15:01Z)
• Entropy Production and the Role of Correlations in Quantum Brownian Motion [77.34726150561087]
  We perform a study on quantum entropy production, different kinds of correlations, and their interplay in the driven Caldeira-Leggett model of quantum Brownian motion.
  arXiv  Detail & Related papers  (2021-08-05T13:11:05Z)
• Multipartite quantum correlations in a two-mode Dicke model [0.0]
  We analyze multipartite correlations in a generalized Dicke model involving two optical modes interacting with an ensemble of two-level atoms. We find that while each mode entangles with the atoms, the bipartite entanglement between the modes is zero, and they share only classical correlations and quantum discord.
  arXiv  Detail & Related papers  (2021-05-19T17:16:43Z)
• Superposition of two-mode squeezed states for quantum information processing and quantum sensing [55.41644538483948]
  We investigate superpositions of two-mode squeezed states (TMSSs) TMSSs have potential applications to quantum information processing and quantum sensing.
  arXiv  Detail & Related papers  (2021-02-01T18:09:01Z)

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.