Two-mode entanglement in two-component Bose-Einstein condensates
arXiv:quant-ph/0405117 · doi:10.1103/PhysRevA.71.013601
Abstract
We study the generation of two-mode entanglement in a two-component Bose-Einstein condensate trapped in a double-well potential. By applying the Holstein-Primakoff transformation, we show that the problem is exactly solvable as long as the number of excitations due to atom-atom interactions remains low. In particular, the condensate constitutes a symmetric Gaussian system, thereby enabling its entanglement of formation to be measured directly by the fluctuations in the quadratures of the two constituent components [Giedke {\it et al.}, Phys. Rev. Lett. {\bf 91}, 107901 (2003)]. We discover that significant two-mode squeezing occurs in the condensate if the interspecies interaction is sufficiently strong, which leads to strong entanglement between the two components.
22 pages, 4 figures
References in corpus (24)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Experimental quantum teleportation
- Entanglement in quantum critical phenomena
- Peres-Horodecki separability criterion for continuous variable systems
- Inseparability criterion for continuous variable systems
- Experimental Realization of Teleporting an Unknown Pure Quantum State via Dual Classical and Einstein-Podolski-Rosen Channels
- Experimental long-lived entanglement of two macroscopic objects
- The dynamics of component separation in a binary mixture of Bose-Einstein condensates
- Many-particle entanglement with Bose--Einstein condensates
- Josephson Junction Arrays with Bose-Einstein Condensates
- Controlled Collisions for Multiparticle Entanglement of Optically Trapped Atoms
- Quantum Chaos Triggered by Precursors of a Quantum Phase Transition: The Dicke Model
- A two atomic species superfluid
- Entanglement of formation for symmetric Gaussian states
- Continuous variable entanglement using cold atoms
- Magnetic control of the interaction in ultracold K-Rb mixtures
- Coherent control of spin squeezing
- Quantum entanglement in spinor Bose-Einstein condensates
- Distillation of Bose-Einstein condensates in a double-well potential
- Josephson Effect in BEC with Spin Degree of Freedom
- Spin squeezing and entanglement in spinor-1 condensates
- Entangled quantum tunneling of two-component Bose-Einstein condensates
- Relations between bosonic quadrature squeezing and atomic spin squeezing
- Eliminating the mean-field shift in multicomponent Bose-Einstein condensates
Cited by in corpus (20)
- Nonlinear modes and symmetry breaking in rotating double-well potentials
- Single-atom aided probe of the decoherence of a Bose-Einstein condensate
- Measure synchronization in a two-species bosonic Josephson junction
- Spin-orbit coupled Bose-Einstein condensates in a double well
- Dynamics of entanglement between two harmonic modes in stable and unstable regimes
- Entanglement of two harmonic modes coupled by angular momentum
- Entanglement between atomic condensates in an optical lattice: effects of interaction range
- Entanglement control in coupled two-mode boson systems
- Vacuum Fluctuations induced Entanglement between Two Mesoscopic Systems
- Steady-state entanglement in a double-well Bose-Einstein condensate through coupling to a superconducting resonator
- Quantum phase transition of two-mode Bose-Einstein condensates with an entanglement order parameter
- Instabilities of a matter wave in a matter grating
- Quantum dynamics of a binary mixture of BECs in a double well potential: an Holstein-Primakoff approach
- Correlation and entanglement of two-component Bose-Einstein condensates in a double well
- Production of mesoscopic superpositions with ultracold atoms
- Entangled light from Bose-Einstein condensates
- Controlling quantum coherence of a two-component Bose-Einstein condensate via an impurity atom
- A binary mixture of Bose-Einstein-condensates in a double-well potential: Berry phase and two-mode entanglement
- Entanglement criteria for two strongly interacting ensembles
- Dynamics of mode entanglement induced by particle-tunneling in the extended Bose-Hubbard dimer model