The Bell Based Super Coherent States. Uncertainty Relations, Golden Ratio and Fermion-Boson Entanglement

• URL: http://arxiv.org/abs/2405.08594v1
• Date: Tue, 14 May 2024 13:36:50 GMT
• Title: The Bell Based Super Coherent States. Uncertainty Relations, Golden Ratio and Fermion-Boson Entanglement
• Authors: Oktay K Pashaev, Aygul Kocak,
• Abstract summary: A set of maximally fermion-boson entangled Bell super-coherent states is introduced. A superposition of these states with separable bosonic coherent states is represented by points on the super-Bloch sphere. Entanglement of bosonic and fermionic degrees of freedom in these states is studied by using displacement bosonic operator.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The set of maximally fermion-boson entangled Bell super-coherent states is introduced. A superposition of these states with separable bosonic coherent states, represented by points on the super-Bloch sphere, we call the Bell based super-coherent states. Entanglement of bosonic and fermionic degrees of freedom in these states is studied by using displacement bosonic operator. It acts on the super-qubit reference state, representing superposition of the zero and the one super-number states, forming computational basis super-states. We show that the states are completely characterized by displaced Fock states, as a superposition with non-classical, the photon added coherent states, and the entanglement is independent of coherent state parameter $\alpha$ and of the time evolution. In contrast to never orthogonal Glauber coherent states, our entangled super-coherent states can be orthogonal. The uncertainty relation in the states is monotonically growing function of the concurrence and for entangled states we get non-classical quadrature squeezing and representation of uncertainty by ratio of two Fibonacci numbers. The sequence of concurrences, and corresponding uncertainties $\hbar F_n/F_{n+1}$, in the limit $n \rightarrow \infty $, convergent to the Golden ratio uncertainty $\hbar/\varphi$, where $\varphi = \frac{1 + \sqrt{5}}{2}$ is found.

Related papers

• Attraction Domain Analysis for Steady States of Markovian Open Quantum Systems [23.032361050165587]
  We show that steady states without uniqueness in the set of density operators have attraction domains with measure zero. An example regarding an open Heisenberg XXZ spin chain is presented.
  arXiv  Detail & Related papers  (2023-08-15T07:10:46Z)
• Characterizing the superposition of arbitrary random quantum states and a known quantum state [5.316931601243777]
  We investigate the superposition problem of unknown qubit states with respect to a known qubit state. Under trace-nonincreasing completely positive operations the superposable state sets are located in some circles on the Bloch sphere. For the high-dimensional case, we illustrate that any superposition transformation protocols will violate the no-cloning principle for almost all the states.
  arXiv  Detail & Related papers  (2023-05-11T01:31:34Z)
• Concentration bounds for quantum states and limitations on the QAOA from polynomial approximations [17.209060627291315]
  We prove concentration for the following classes of quantum states: (i) output states of shallow quantum circuits, answering an open question from [DPMRF22]; (ii) injective matrix product states, answering an open question from [DPMRF22]; (iii) output states of dense Hamiltonian evolution, i.e. states of the form $eiota H(p) cdots eiota H(1) |psirangle for any $n$-qubit product state $|psirangle$, where each $H(
  arXiv  Detail & Related papers  (2022-09-06T18:00:02Z)
• Emergence of Fermi's Golden Rule [55.73970798291771]
  Fermi's Golden Rule (FGR) applies in the limit where an initial quantum state is weakly coupled to a continuum of other final states overlapping its energy. Here we investigate what happens away from this limit, where the set of final states is discrete, with a nonzero mean level spacing.
  arXiv  Detail & Related papers  (2022-06-01T18:35:21Z)
• Entanglement and fermionization of two distinguishable fermions in a strict and non strict one-dimensional space [0.0]
  We present two alternative representations of the ground state that we associate with two different types of one-dimensional spaces. We find that the entanglement of the ground state is strongly conditioned by those one-dimensional space features. In the strongly repulsive regime the ground state changes smoothly from a superposition of Slater-like states to a finite superposition of Slaters.
  arXiv  Detail & Related papers  (2021-08-23T20:17:58Z)
• Separability and entanglement in superpositions of quantum states [0.0]
  We study the superpositions of a pure entangled state and a pure product state, when the amplitudes corresponding to the states appearing in any superposition are nonzero. All such superpositions produce only entangled states if the initial entangled state has Schmidt rank three or higher. We find that conditional inseparability of superpositions help in identifying strategies for conclusive local discrimination of shared quantum ensembles.
  arXiv  Detail & Related papers  (2021-08-04T19:48:29Z)
• Dimerization of many-body subradiant states in waveguide quantum electrodynamics [137.6408511310322]
  We study theoretically subradiant states in the array of atoms coupled to photons propagating in a one-dimensional waveguide. We introduce a generalized many-body entropy of entanglement based on exact numerical diagonalization. We reveal the breakdown of fermionized subradiant states with increase of $f$ with emergence of short-ranged dimerized antiferromagnetic correlations.
  arXiv  Detail & Related papers  (2021-06-17T12:17:04Z)
• Partitioning dysprosium's electronic spin to reveal entanglement in non-classical states [55.41644538483948]
  We report on an experimental study of entanglement in dysprosium's electronic spin. Our findings open up the possibility to engineer novel types of entangled atomic ensembles.
  arXiv  Detail & Related papers  (2021-04-29T15:02:22Z)
• Coherent state superpositions, entanglement and gauge/gravity correspondence [3.4222920854856014]
  We focus on two types of coherent states, the coherent states of multi graviton states and the coherent states of giant graviton states. We analyze the correlation and entanglement between gravitational degrees of freedom using different regions of the phase space plane in bubbling AdS.
  arXiv  Detail & Related papers  (2020-11-27T18:59:15Z)
• Entanglement swapping theory and beyond [0.294656234307089]
  We consider the entanglement swapping between 2-level maximally entangled states without limiting each subsystem to be in the same basis. For the entanglement swapping between any number of d-level maximally entangled states, we consider the case realized by performing a joint measurement on the particles. We propose the entanglement swapping chains for maximally entangled states, which is realized by performing measurements on multiple particles.
  arXiv  Detail & Related papers  (2020-09-05T15:44:21Z)
• Entanglement as upper bounded for the nonlocality of a general two-qubit system [16.676050048472963]
  We systematically investigate the relationship between entanglement and nonlocality of a general two-qubit system. We find that the nonlocality of two different two-qubit states can be optimally stimulated by the same nonlocality test setting.
  arXiv  Detail & Related papers  (2020-04-17T16:42:27Z)

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.