Energy-level crossings and number-parity effects in a bosonic tunneling model

Agboola, D.; Isaac, Phillip S.; Links, Jon

doi:10.1088/1361-6455/aac6f2

Cited by 3 publications

(3 citation statements)

References 34 publications

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“…This results from the block diagonalization of the Hamiltonian into the different angular momentum representations H N l at = U 1 /2. A similar behaviour is observed in the two-mode Bose Hubbard model with atom-pair tunneling along the boundary between phase-locking and self-trapping phases [56,57]. Indeed, rotating the basis (40) by π/2 and setting U 2 = 0, we have…”

Section: Properties Of the Tight-binding Hamiltoniansupporting

confidence: 76%

Coherent spin mixing via spin-orbit coupling in Bose gases

Cabedo¹,

Claramunt²,

Celi³

et al. 2019

Phys. Rev. A

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We study beyond-mean-field properties of interacting spin-1 Bose gases with synthetic Rashba-Dresselhaus spin-orbit coupling at low energies. We derive a many-body Hamiltonian following a tight-binding approximation in quasi-momentum space, where the effective spin dependence of the collisions that emerges from spin-orbit coupling leads to dominant correlated tunneling processes that couple the different bound states. We discuss the properties of the spectrum of the derived Hamiltonian and its experimental signatures. In a certain region of the parameter space, the system becomes integrable, and its dynamics becomes analogous to that of a spin-1 condensate with spin-dependent collisions. Remarkably, we find that such dynamics can be observed in existing experimental setups through quench experiments that are robust against magnetic fluctuations. :1909.13840v1 [cond-mat.quant-gas] arXiv

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Section: Properties Of the Tight-binding Hamiltoniansupporting

confidence: 76%

Coherent spin mixing via spin-orbit coupling in Bose gases

Cabedo¹,

Claramunt²,

Celi³

et al. 2019

Phys. Rev. A

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“…More recently, mean field phase diagrams for double well scenarios in configuration space with pair-tunneling have been discussed in Refs. [25,26].…”

Section: Ground State Phase Diagram a Zero Temperaturementioning

confidence: 99%

“…For example, the two modes could be p x -and p y -orbitals in the first excited state of a two-dimensional (2D) harmonic oscillator. The flavour-changing character of the interaction mimics a pair tunneling term between the two single-particle modes [19][20][21][22][23][24][25][26] and as such it should act to induce coherence between these modes, in contrast to flavour conserving interactions, which tend to inhibit coherence [11]. It is found that the quantum ground state is well approximated as a coherent (for zero temperature) or incoherent (at low temperature) superposition of two quasi-classical phase states, each of which can be realized in a mean-field description via spontaneous symmetry breaking.…”

Section: Introductionmentioning

confidence: 99%

Bosons condensed in two modes with flavor-changing interaction

Hemmerich

2019

Phys. Rev. A

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A quantum model is considered for N bosons populating two orthogonal single-particle modes with tunable energy separation in the presence of flavour-changing contact interaction. The quantum ground state is well approximated as a coherent superposition (for zero temperature) or a mixture (at low temperature) of two quasi-classical states. In a mean field description, the systems realizes one of these states via spontaneous symmetry breaking. Both mean field states, in a certain parameter range, possess finite angular momentum and exhibit broken time-reversal symmetry in contrast to the quantum ground state. The phase diagram is explored at the mean-field level and by direct diagonalisation. The nature of the quantum ground state at zero and finite temperature is analyzed by means of the Penrose Onsager criterion. One of three possible phases shows fragmentation on the single-particle level together with a finite pair order parameter. Thermal and quantum fluctuations are characterized with respect to regions of universal scaling behavior.The non-equilibrium dynamics shows a sharp transition between a self-trapping and a pair-tunneling regime. A recently realized experimental implementation is discussed with bosonic atoms condensed in the two inequivalent energy minima X± of the second band of a bipartite two-dimensional optical lattice.

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