Bipartite temporal Bell inequalities for two-mode squeezed states

• URL: http://arxiv.org/abs/2007.00458v2
• Date: Fri, 13 Nov 2020 12:41:53 GMT
• Title: Bipartite temporal Bell inequalities for two-mode squeezed states
• Authors: Kenta Ando, Vincent Vennin
• Abstract summary: We study bipartite temporal Bell inequalities for continuous systems placed in two-mode squeezed states. We highlight the role played by the rotation angle, which is one of the three parameters characterising a two-mode squeezed state.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Bipartite temporal Bell inequalities are similar to the usual Bell inequalities except that, instead of changing the direction of the polariser at each measurement, one changes the time at which the measurement is being performed. By doing so, one is able to test for realism and locality, but relying on position measurements only. This is particularly useful in experimental setups where the momentum direction cannot be probed (such as in cosmology for instance). We study these bipartite temporal Bell inequalities for continuous systems placed in two-mode squeezed states, and find some regions in parameter space where they are indeed violated. We highlight the role played by the rotation angle, which is one of the three parameters characterising a two-mode squeezed state (the other two being the squeezing amplitude and the squeezing angle). In single-time measurements, it only determines the overall phase of the wavefunction and can therefore be discarded, but in multiple-time measurements, its time dynamics becomes relevant and crucially determines when bipartite temporal Bell inequalities can be violated. Our study opens up the possibility of new experimental designs for the observation of Bell inequality violations.

Related papers

• Temporal Bell inequalities in a many-body system [0.0]
  We show that a temporal Clauser-Horne inequality for two spins is violated for nonzero time interval between the measurements if the two measured parties are connected by a spin chain. Our result suggests that, as expected in a many-body setup, the Lieb-Robinson bound substitutes the speed of light as the fundamental limit for the spreading of information.
  arXiv  Detail & Related papers  (2024-09-25T19:00:47Z)
• Effects of Topological Boundary Conditions on Bell Nonlocality [0.9374652839580183]
  Bell nonlocality is the resource that enables device-independent quantum information processing tasks. Our work can act as a guide to certify Bell nonlocality in many-qubit devices.
  arXiv  Detail & Related papers  (2024-05-23T13:58:50Z)
• Some consequences of Sica's approach to Bell's inequalities [55.2480439325792]
  Louis Sica derived Bell's inequalities from the hypothesis that the time series of outcomes observed in one station does not change if the setting in the other station is changed. In this paper, Sica's approach is extended to series with non ideal efficiency and to the actual time structure of experimental data.
  arXiv  Detail & Related papers  (2024-03-05T13:59:52Z)
• Violation of the two-time Leggett-Garg inequalities for a harmonic oscillator [0.0]
  We develop a new formula to compute the two-time quasi-probability distribution function. We discuss when the Leggett-Garg inequalities are violated in an intuitive manner.
  arXiv  Detail & Related papers  (2023-10-25T08:52:00Z)
• Quantum asymmetry and noisy multi-mode interferometry [55.41644538483948]
  Quantum asymmetry is a physical resource which coincides with the amount of coherence between the eigenspaces of a generator. We show that the asymmetry may emphincrease as a result of a emphdecrease of coherence inside a degenerate subspace.
  arXiv  Detail & Related papers  (2021-07-23T07:30:57Z)
• Einstein-Podolsky-Rosen Steering in Two-sided Sequential Measurements with One Entangled Pair [5.180965147147337]
  Non-locality and quantum measurement are two fundamental topics in quantum theory. Non-locality sharing among multiple observers is predicted and experimentally observed. Double EPR steering can be demonstrated simultaneously while double Bell-CHSH inequalityviolations are shown to be impossible.
  arXiv  Detail & Related papers  (2021-02-04T11:32:14Z)
• 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)
• Collective spontaneous emission of two entangled atoms near an oscillating mirror [50.591267188664666]
  We consider the cooperative spontaneous emission of a system of two identical atoms, interacting with the electromagnetic field in the vacuum state. Using time-dependent theory, we investigate the spectrum of the radiation emitted by the two-atom system. We show that it is modulated in time, and that the presence of the oscillating mirror can enhance or inhibit the decay rate.
  arXiv  Detail & Related papers  (2020-10-07T06:48:20Z)
• Entanglement degradation of cavity modes due to the dynamical Casimir effect [68.8204255655161]
  We study the entanglement dynamics between two cavities when one of them is harmonically shaken in the context of quantum information theory. We find four different depending on the frequency of the motion and the spectrum of the moving cavity.
  arXiv  Detail & Related papers  (2020-07-13T18:57:31Z)
• Two-axis two-spin squeezed states [3.256709430144973]
  We find that the Hamiltonian approximately produces two types of spin-EPR states, and the time evolution produces aperiodic oscillations between them. It is possible to violate a Bell timescales with such states, although the inequality diminishes with increasing ensemble size.
  arXiv  Detail & Related papers  (2020-06-06T12:41:19Z)
• Zitterbewegung and Klein-tunneling phenomena for transient quantum waves [77.34726150561087]
  We show that the Zitterbewegung effect manifests itself as a series of quantum beats of the particle density in the long-time limit. We also find a time-domain where the particle density of the point source is governed by the propagation of a main wavefront. The relative positions of these wavefronts are used to investigate the time-delay of quantum waves in the Klein-tunneling regime.
  arXiv  Detail & Related papers  (2020-03-09T21:27:02Z)

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.