Entanglement in phase-space distribution for an anisotropic harmonic oscillator in noncommutative space

• URL: http://arxiv.org/abs/2206.10599v3
• Date: Thu, 10 Nov 2022 19:49:24 GMT
• Title: Entanglement in phase-space distribution for an anisotropic harmonic oscillator in noncommutative space
• Authors: Pinaki Patra
• Abstract summary: We show that the co-ordinates are entangled only with the conjugate momentum corresponding to other co-ordinates. The identification of the entangled degrees of freedom is possible by studying the Wigner quasiprobability distribution in phase-space.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The bi-partite Gaussian state, corresponding to an anisotropic harmonic oscillator in a noncommutative-space, is investigated with the help of the Simon's separability condition (generalized Peres-Horodecki criterion). It turns out that, in order to exhibit the entanglement between the noncommutative co-ordinates, the parameters (mass and frequency) have to satisfy an unique constraint equation. Exact solutions for the system are obtained after diagonalizing the model, keeping the intrinsic symplectic structure intact. It is shown that, the identification of the entangled degrees of freedom is possible by studying the Wigner quasiprobability distribution in phase-space. We have shown that the co-ordinates are entangled only with the conjugate momentum corresponding to other co-ordinates.

Related papers

• Quantum Random Walks and Quantum Oscillator in an Infinite-Dimensional Phase Space [45.9982965995401]
  We consider quantum random walks in an infinite-dimensional phase space constructed using Weyl representation of the coordinate and momentum operators. We find conditions for their strong continuity and establish properties of their generators.
  arXiv  Detail & Related papers  (2024-06-15T17:39:32Z)
• Exact dynamics of quantum dissipative $XX$ models: Wannier-Stark localization in the fragmented operator space [49.1574468325115]
  We find an exceptional point at a critical dissipation strength that separates oscillating and non-oscillating decay. We also describe a different type of dissipation that leads to a single decay mode in the whole operator subspace.
  arXiv  Detail & Related papers  (2024-05-27T16:11:39Z)
• On the entanglement of co-ordinate and momentum degrees of freedom in noncommutative space [0.0]
  We investigate the quantum entanglement induced by phase-space noncommutativity. The entanglement properties of coordinate and momentum degrees of freedom are studied. We show that the mere inclusion of non-commutativity of phase-space is not sufficient to generate the entanglement.
  arXiv  Detail & Related papers  (2024-01-05T18:43:47Z)
• Entanglement and classical nonseparability convertible from orthogonal polarizations [5.25978802643387]
  We consider light beams with polarization degree of freedom in Euclidean space as coherent product states in a bipartite Hilbert space. Considering light beams with polarization degree of freedom in Euclidean space as coherent product states in a bipartite Hilbert space, we propose a method to convert the two polarizations into simultaneous entanglement and classical nonseparability.
  arXiv  Detail & Related papers  (2023-10-06T07:45:20Z)
• Harmonic oscillator coherent states from the orbit theory standpoint [0.0]
  We show that analogs of coherent states constructed by the noncommutative integration can be expressed in terms of the solution of a system of differential equations on the Lie group. The solutions constructed are directly related to irreducible representation of the Lie algebra on the Hilbert space functions on the Lagrangian submanifold to the orbit of the coadjoint representation.
  arXiv  Detail & Related papers  (2022-11-20T17:15:02Z)
• Simultaneous Transport Evolution for Minimax Equilibria on Measures [48.82838283786807]
  Min-max optimization problems arise in several key machine learning setups, including adversarial learning and generative modeling. In this work we focus instead in finding mixed equilibria, and consider the associated lifted problem in the space of probability measures. By adding entropic regularization, our main result establishes global convergence towards the global equilibrium.
  arXiv  Detail & Related papers  (2022-02-14T02:23:16Z)
• Topological transitions with continuously monitored free fermions [68.8204255655161]
  We show the presence of a topological phase transition that is of a different universality class than that observed in stroboscopic projective circuits. We find that this entanglement transition is well identified by a combination of the bipartite entanglement entropy and the topological entanglement entropy.
  arXiv  Detail & Related papers  (2021-12-17T22:01:54Z)
• Intrinsic decoherence for the displaced harmonic oscillator [77.34726150561087]
  We use the complete solution of the Milburn equation that describes intrinsic decoherence. We calculate the expectation values of position quadrature, and the number operator in initial coherent and squeezed states.
  arXiv  Detail & Related papers  (2021-12-06T03:15:43Z)
• Harmonic oscillator kicked by spin measurements: a Floquet-like system without classical analogous [62.997667081978825]
  The impulsive driving is provided by stroboscopic measurements on an ancillary degree of freedom. The dynamics of this system is determined in closed analytical form. We observe regimes with crystalline and quasicrystalline structures in phase space, resonances, and evidences of chaotic behavior.
  arXiv  Detail & Related papers  (2021-11-23T20:25:57Z)
• Isomorphism of Analytical Spectrum between Noncommutative Harmonic Oscillator and Landau Problem [0.0]
  The energy eigenvalues and eigenstates of Landau problem in symmetric and two Landau gauges are evaluated. The two systems are isomorphic up to the similar values of $n_r$ and $m_l$ and $qB = eB > 0$ for both gauge choices.
  arXiv  Detail & Related papers  (2021-01-15T01:34:52Z)
• Entanglement Induced by Noncommutativity: Anisotropic Harmonic Oscillator in Noncommutative space [0.0]
  Quantum entanglement, induced by spatial noncommutativity, is investigated for an anisotropic harmonic oscillator. We find that the states of the system are entangled provided a unique function of the (mass and frequency) parameters obeys an inequality. It is worth mentioning that, even in a noncommutative space, entanglement is generated only if the harmonic oscillator is anisotropic.
  arXiv  Detail & Related papers  (2020-06-30T04:47:03Z)

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.