Quantum Correlations in a Few-Atom Spin-1 Bose-Hubbard Model
نویسنده
چکیده
We study the thermal quantum correlations and entanglement in spin1 Bose-Hubbard model with two and three particles. While we use negativity to calculate entanglement, more general non-classical correlations are quantified using a new measure based on a necessary and sufficient condition for zero-discord state. We demonstrate that the energy level crossings in the ground state of the system are signalled by both the behavior of thermal quantum correlations and entanglement.
منابع مشابه
Strong Correlations in
viii Chapter 1 Ultracold Bosonic Atoms in Optical Lattices 1 1.1 Optical Lattices . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2 Scattering Theory . . . . . . . . . . . . . . . . . . . . . . . . . 9 1.3 Bosons in Lattices: The Bose Hubbard Model . . . . . . . . . 14 Chapter 2 Quantum Theory of Ultracold Bosons in Lattices 17 2.1 Formalism . . . . . . . . . . . . . . . . . . . . . . ....
متن کاملGlobal phase space of coherence and entanglement in a double-well Bose-Einstein condensate
Ultracold atoms provide an ideal system for the realization of quantum technologies but also for the study of fundamental physical questions such as the emergence of decoherence and classicality in quantum many-body systems. Here, we study the global structure of the quantum dynamics of bosonic atoms in a double-well trap based upon the Bose-Hubbard Hamiltonian and analyze the conditions for th...
متن کاملCold atom dynamics in a quantum optical lattice potential.
We study a generalized cold atom Bose-Hubbard model, where the periodic optical potential is formed by a cavity field with quantum properties. On the one hand, the common coupling of all atoms to the same mode introduces cavity-mediated long-range atom-atom interactions, and, on the other hand, atomic backaction on the field introduces atom-field entanglement. This modifies the properties of th...
متن کاملQuantum phase transition from a Mott insulator to a superfluid in bosons
Bose Hubbard model is presented and basic natures of Mott insulating phase and superfluid phase are studied in this essay. Also how and when this quantum phase transition occurs is discussed. Experimental supports from ultracold atoms physics are explained, while some miscellaneous topics are touched in the end.
متن کاملOut-of-equilibrium dynamics and thermalization of string order
We investigate the equilibration dynamics of string order in one-dimensional quantum systems. After initializing a spin-1 chain in the Haldane phase, the time evolution of nonlocal correlations following a sudden quench is studied by means of matrix-product-state-based algorithms. Thermalization occurs only for scales up to a horizon growing at a well defined speed, due to the finite maximal ve...
متن کامل