Entangled squeezed states in noncommutative spaces with minimal length uncertainty relations

  title={Entangled squeezed states in noncommutative spaces with minimal length uncertainty relations},
  author={Sanjib Dey and V{\'e}ronique Hussin},
  journal={Physical Review D},
We provide an explicit construction of entangled states in a noncommutative space with nonclassical states, particularly with the squeezed states. Noncommutative systems are found to be more entangled than the usual quantum mechanical systems. The noncommutative parameter provides an additional degree of freedom in the construction by which one can raise the entanglement of the noncommutative systems to fairly higher values beyond the usual systems. Despite of having classical-like behaviour… 

Figures from this paper

Nonclassicality versus entanglement in a nc space Nonclassicality versus entanglement in a noncommutative space

In a setting of noncommutative space with minimal length we confirm the general assertion that the more nonclassical an input state for a beam splitter is, the more entangled its output state

Nonclassicality versus entanglement in a noncommutative space

Nonclassicality is an interesting property of light having applications in many different contexts of quantum optics, quantum information and computation. Nonclassical states produce substantial

Noncommutative q -photon-added coherent states

We construct the photon-added coherent states of a noncommutative harmonic oscillator associated to a $q$-deformed oscillator algebra. Various nonclassical properties of the corresponding system are

On completeness of coherent states in noncommutative spaces with the generalised uncertainty principle

Coherent states are required to form a complete set of vectors in the Hilbert space by providing the resolution of identity. We study the completeness of coherent states for two different models in a

A squeezed review on coherent states and nonclassicality for non-Hermitian systems with minimal length

The recent developments of coherent and nonclassical states for non-Hermitian Hamiltonian systems and their applications and usefulness in different contexts of physics are reviewed.

Higher Order Nonclassicality from Nonlinear Coherent States for Models with Quadratic Spectrum

This article studies the nonclassical behaviour of nonlinear coherent states for generalised classes of models corresponding to the generalised ladder operators and indicates that the models with quadratic spectrum are more non classical than the others.

Planck scale Corrections to the Harmonic Oscillator, Coherent and Squeezed States

The Generalized Uncertainty Principle (GUP) is a modification of Heisenberg's Principle predicted by several theories of Quantum Gravity. It consists of a modified commutator between position and

Constructing squeezed states of light with associated Hermite polynomials

A new class of states of light is introduced that is complementary to the well-known squeezed states. The construction is based on the general solution of the three-term recurrence relation that

Nonclassical States for Non-Hermitian Hamiltonians with the Oscillator Spectrum

In this paper, we show that the standard techniques that are utilized to study the classical-like properties of the pure states for Hermitian systems can be adjusted to investigate the classicality

Nonclassical properties and polarization degree of photon-subtracted entangled nonlinear coherent states

As in two previous papers where nonclassical properties and entanglement dynamics were studied for entangled nonlinear coherent states (ENCS) [D. Afshar and A. Anbaraki, J. Opt. Soc. Am. B 33, 558



q-deformed noncommutative cat states and their nonclassical properties

We study several classical like properties of q-deformed nonlinear coherent states as well as nonclassical behaviours of q-deformed version of the Schrodinger cat states in noncommutative space.

Strings from position-dependent noncommutativity

We introduce a new set of noncommutative spacetime commutation relations in two space dimensions. The space–space commutation relations are deformations of the standard flat noncommutative spacetime

Squeezed coherent states and the one-dimensional Morse quantum system

The Morse potential one-dimensional quantum system is a realistic model for studying vibrations of atoms in a diatomic molecule. This system is very close to the harmonic oscillator one. We thus

Uncertainty relation in quantum mechanics with quantum group symmetry

The commutation relations, uncertainty relations, and spectra of position and momentum operators were studied within the framework of quantum group symmetric Heisenberg algebras and their (Bargmann)

Entanglement by a beam splitter: Nonclassicality as a prerequisite for entanglement

A beam splitter is a simple, readily available device which can act to entangle output optical fields. We show that a necessary condition for the fields at the output of the beam splitter to be

Hermitian versus non-Hermitian representations for minimal length uncertainty relations

We investigate four different types of representations of deformed canonical variables leading to generalized versions of Heisenberg’s uncertainty relations resulting from noncommutative spacetime

Exponential and Laguerre squeezed states for su(1,1) algebra and the Calogero-Sutherland model.

  • FuSasaki
  • Physics
    Physical review. A, Atomic, molecular, and optical physics
  • 1996
A class of squeezed states for the su(1,1) algebra is found and expressed by the exponential and Laguerre-polynomial operators acting on the vacuum states. As a special case it is proved that the

“Squashed entanglement”: An additive entanglement measure

A new entanglement monotone for bipartite quantum states is presented, inspired by the so-called intrinsic information of classical cryptography and is given by the halved minimum quantum conditional mutual information over all tripartite state extensions: it is convex, additive on tensor products, and superadditive in general.

Quasi-Hermitian operators in quantum mechanics and the variational principle