Segregated quantum phases of dipolar bosonic mixtures in two-dimensional optical lattices

We investigate the quantum phase transitions of a two-dimensional Bose-Hubbard model with Rashba spinorbit coupling with and without thermal fluctuations. The interplay of the single-particle hopping, the strength of spin-orbit coupling and interspecies interaction leads to superfluid phases with distinct properties. With interspecies interactions weaker than intraspecies, at lower hopping strengths, the spin-orbit coupling induces the finite momentum phase-twisted superfluid phase and reduces the domain of insulating phase. At higher hopping strengths, the modulation in the density and phase favours stripe superfluid. A further increase in the hopping strength damps the density modulations, and the system exhibits homogeneous superfluidity. We examine the transition of striped to homogeneous superfluid phase using finite-size scaling and show that the critical hopping strength is independent of the atomic density. With interspecies interaction greater than intraspecies, the system exhibits phase-twisted to ferromagnetic phase transition without an intervening stripe phase. At finite temperatures, the thermal fluctuations destroy the phase-twisted superfluidity and lead to a wide region of normal-fluid states. These findings can be observed with recent quantum gas experiments with spin-orbit coupling in optical lattices.

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“…In the absence of SOC the phase diagram shown in Fig. 2(a) agrees well with previous studies on condensate mixtures [40][41][42][43].…”

Section: No Spin-orbit Coupling (λ = 0)supporting

confidence: 90%

“…2(a). The details of the quantum phase transitions as a function of U ↑↓ for two-component interacting scalar-bosonic system is reported in our previous study [43]. In the phase-separated superfluid, the condensation occurs in one of the component only, and it resembles the zFM phase.…”

Section: (B)-(c)mentioning

confidence: 77%

Spin-orbit-coupling-driven superfluid states in optical lattices at zero and finite temperatures

et al. 2021

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“…The value of ∆ is fixed by calculating the collective excitations of the equilibrium ground state at initial time. These Bogoliubov-de Gennes (BdG) modes are obtained by adding a fluctuation to the equilibrium ground state [27,28,[32][33][34].…”

Section: Appendix A: Appendixmentioning

confidence: 99%

“…The ultracold atoms in optical lattice simulate the Bose-Hubbard model (BHM) [15,16], which is a minimal model to study the physics of in-teracting bosons in a lattice. These systems are used to understand various equilibrium quantum phases [19][20][21][22][23][24][25][26][27][28], collective excitations [29][30][31][32][33][34] etc. In the context of the KZM, there are many works done using the system of ultracold atoms.…”

Section: Introductionmentioning

confidence: 99%

Quantum quench dynamics of tilted dipolar bosons in 2D optical lattices

Sable¹,

Gaur²,

Bandyopadhyay³

et al. 2021

Preprint

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We investigate the quench dynamics of the dipolar bosons in two dimensional optical lattice of square geometry using the time dependent Gutzwiller method. The system exhibits different density orders like the checkerboard and the striped pattern, depending upon the polarization angle of the dipoles. We quench the hopping parameter across the striped density wave (SDW) to striped supersolid (SSS) phase transition, and obtain the scaling laws for the correlation length and topological vortex density, as function of the quench rate. The results are reminiscent of the Kibble-Zurek mechanism (KZM). We also investigate the dynamics from the striped supersolid phase to the checkerboard supersolid phase, obtained by quenching the dipole tilt angle θ. This is a first order structural quantum phase transition, and we study the non-equilibrium dynamics from the perspective of the KZM. In particular, we find the number of the domains with checkerboard order follows a power law scaling with the quench rate. This indicates the applicability of the KZM to this first order quantum phase transition.

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“…We perform self-consistent calculation of φ p,q till the desired convergence is obtained. The details of using this method in our computations are given in our previous works [30,[38][39][40][41][42][43].…”

Section: A Bhm Hamiltonianmentioning

confidence: 99%

Fine-grained domain counting and percolation analysis in 2D lattice systems with linked-lists

Sable¹,

Gaur²,

Angom³

2021

Preprint

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We present a fine-grained approach to identify clusters and perform percolation analysis in a 2D lattice system. In our approach, we develop an algorithm based on the linked-list data structure and the members of a cluster are nodes of a path. This path is mapped to a linked-list. This approach facilitates unique cluster labeling in a lattice with a single scan. We use the algorithm to determine the critical exponent in the quench dynamics from Mott Insulator to superfluid phase of bosons in 2D square optical lattices. The result obtained are consistent with the Kibble-Zurek mechanism. We also employ the algorithm to compute correlation lengths using definitions based on percolation theory. And, use it to identify the quantum critical point of the Bose Glass to superfluid transition in the disordered 2D square optical lattices. In addition, we also compute the critical exponent of the transition.

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Segregated quantum phases of dipolar bosonic mixtures in two-dimensional optical lattices

Cited by 15 publications

References 103 publications

Spin-orbit-coupling-driven superfluid states in optical lattices at zero and finite temperatures

Spin-orbit-coupling-driven superfluid states in optical lattices at zero and finite temperatures

Quantum quench dynamics of tilted dipolar bosons in 2D optical lattices

Fine-grained domain counting and percolation analysis in 2D lattice systems with linked-lists

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