Quantum entangled ground states of two spinor Bose-Einstein condensates

Abstract

We revisit in detail the non-mean-field ground-state phase diagram for a binary mixture of spin-1 Bose-Einstein condensates including quantum fluctuations. The non-commuting terms in the spin-dependent Hamiltonian under single spatial mode approximation make it difficult to obtain exact eigenstates. Utilizing the spin z-component conservation and the total spin angular momentum conservation, we numerically derive the information of the building blocks and evaluate von Neumann entropy to quantify the ground states. The mean-field phase boundaries are found to remain largely intact, yet the ground states show fragmented and entangled behaviors within large parameter spaces of interspecies spin-exchange and singlet-pairing interactions.

7 pages, 5 figures

References in corpus (10)

• Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
• Fragmentation of Bose-Einstein Condensates
• Bose-Einstein Condensation with Entangled Order Parameter
• A binary mixture of spinor atomic Bose-Einstein condensates
• Ground States of a Mixture of Two Species of Spinor Bose Gases with Interspecies Spin Exchange
• Quantum states of a binary mixture of spinor Bose-Einstein condensates
• Three-dimensional quantum phase diagram of the exact ground states of a mixture of two species of spin-1 Bose gases with interspecies spin exchange
• Spontaneously axisymmetry breaking phase in a binary mixture of spinor Bose-Einstein condensates
• Interspecies singlet pairing in a mixture of two spin-1 Bose condensates
• Atomic number fluctuations in a mixture of two spinor condensates

Cited by in corpus (8)

• Ground-state phases of a mixture of spin-1 and spin-2 Bose-Einstein condensates
• Quantum spin mixing in a binary mixture of spin-1 atomic condensates
• Quantum Hall phase diagram of two-component Bose gases: Intercomponent entanglement and pseudopotentials
• Resonant Spin Exchange between Heteronuclear Atoms Assisted by Periodic Driving
• Fragmentation of a spin-1 mixture in a magnetic field
• Variation of the spin textures of 2-species spin-1 condensates studied beyond the single spatial mode approximation and the experimental identification of these textures
• Phase separation and metastability in a mixture of spin-1 and spin-2 Bose-Einstein condensates
• Spin-textures of the Bose-Einstein condensates with three kinds of spin-1 atoms