Quantum properties of a binary bosonic mixture in a double well

Abstract

This work contains a detailed analysis of the properties of the ground state of a two-component two-sites Bose-Hubbard model, which captures the physics of a binary mixture of Bose-Einstein condensates trapped in a double-well potential. The atom-atom interactions within each species and among the two species are taken as variable parameters while the hopping terms are kept fixed. To characterize the ground state we use observables such as the imbalance of population and its quantum uncertainty. The quantum many-body correlations present in the system are further quantified by studying the degree of condensation of each species, the entanglement between the two sites and the entanglement between the two species. The latter is measured by means of the Schmidt gap, the von Neumann entropy or the purity obtained after tracing out a part of the system. A number of relevant states are identified, e.g. Schrödinger catlike many-body states, in which the outcome of the population imbalance of both components is completely correlated, and other states with even larger von Neumann entropy which have a large spread in Fock space.

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• Two-species boson mixture on a ring: A group theoretic approach to the quantum dynamics of low-energy excitations
• The mixing-demixing phase diagram of ultracold heteronuclear mixtures in a ring trimer
• Pathway toward the formation of supermixed states in ultracold boson mixtures loaded in ring lattices
• Signatures of indistinguishability in bosonic many-body dynamics
• Classical route to ergodicity and scarring phenomena in a two-component Bose-Josephson junction
• Many-particle interference in a two-component bosonic Josephson junction: an all-optical simulation
• A continuous-variable approach to the spectral properties and quantum states of the two-component Bose-Hubbard dimer
• Spatial Phase Separation of a Binary Mixture in a Ring Trimer
• Ground state properties of a multi-component bosonic mixture: a Gutzwiller mean-field study
• Quantum-granularity effect in the formation of supermixed solitons in ring lattices
• Efficient Manipulation of Bose-Einstein Condensates in a Double-Well Potential
• Few-body bound states of bosonic mixtures in two-dimensional optical lattices