Entangled states in supersymmetric quantum mechanics

Abstract

We study entanglement of spin degrees of freedom with continuous one in supersymmetric (SUSY) quantum mechanics. Concurrence is determined by mean value of spin and is calculated explicitly for SUSY states. We show that eigenstates of supercharges are maximally entangled. As an example the entanglement of atom state with photon state and SUSY in Jaynes-Cummings model are considered.

References in corpus (14)

• Quantum entanglement
• Supersymmetry and Quantum Mechanics
• Quantum information processing with superconducting circuits: a review
• Photonic quantum information processing: a review
• Harmonic oscillator with nonzero minimal uncertainties in both position and momentum in a SUSYQM framework
• Supersymmetric transparent optical intersections
• Supersymmetry in quantum optics and in spin-orbit coupled systems
• Quantifying geometric measure of entanglement by mean value of spin and spin correlations for pure and mixed states
• Quantum mechanical analogy and supersymmetry of electromagnetic wave modes in planar waveguides
• Supersymmetric Method for Constructing Quasi-Exactly and Conditionally-Exactly Solvable Potentials
• Quasi-Exactly Solvable Potentials with Three Known Eigenstates
• Infinite families of position-dependent mass Schrödinger equations with known ground and first excited states
• Finite Supersymmetry Transformations
• Entanglement, Superselection Rules and Supersymmetric Quantum Mechanics