Supersolid phase of the extended Bose-Hubbard model with an artificial gauge field

Suthar, K. M.; Sable, Hrushikesh; Bai, Rukmani; Bandyopadhyay, Soumik; Pal, Sukla; Angom, D.

doi:10.1103/physreva.102.013320

Cited by 30 publications

(37 citation statements)

References 77 publications

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“…Excitons in tunable lattices have recently be shown to form strongly correlated many-body phases, such as Mott insulating phases 36 or checkerboard phases 37 . If, in the future, twisted light provided excitonic lattices with artificial magnetic fluxes, this could give rise to chiral Mott insulators 38 or extended supersolid regimes 39 .…”

Section: Discussionmentioning

confidence: 99%

Two-dimensional excitons from twisted light and the fate of the photon's orbital angular momentum

Graß,

Bhattacharya,

Sell

et al. 2022

Preprint

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As the bound state of two oppositely charged particles, excitons emerge from optically excited semiconductors as the electronic analogue of a hydrogen atom. In the two-dimensional (2D) case, realized either in quantum well systems or truly 2D materials such as transition metal dichalcogenides, the relative motion of an exciton is described by two quantum numbers: the principal quantum number n, and a quantum number j for the angular momentum along the perpendicular axis. Conservation of angular momentum demands that only the j = 0 states of the excitons are optically active in a system illuminated by plane waves. Here we consider the case for spatially structured light sources, specifically for twisted light beams with non-zero orbital angular momentum per photon. Under the so-called dipole approximation where the spatial variations of the light source occur on length scales much larger than the size of the semiconductor's unit cell, we show that the photon (linear and/or angular) momentum is coupled to the center-of-mass (linear and/or angular) momentum of the exciton. Our study establishes that the selection rule for the internal states of the exciton, and thus the exciton spectrum, is independent from the spatial structure of the light source.

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Section: Discussionmentioning

confidence: 99%

Two-dimensional excitons from twisted light and the fate of the photon's orbital angular momentum

Graß,

Bhattacharya,

Sell

et al. 2022

Preprint

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show abstract

“…Since the polarization is in the y-z plane, it should be noted that θ = π/2 − α ij . The isotropic limit of the model is obtained when θ = 0, and this is commonly referred to as the extended BHM (eBHM) [21,26].…”

Section: Theoretical Modelmentioning

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%

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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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Supersolid phase of the extended Bose-Hubbard model with an artificial gauge field

Cited by 30 publications

References 77 publications

Two-dimensional excitons from twisted light and the fate of the photon's orbital angular momentum

Two-dimensional excitons from twisted light and the fate of the photon's orbital angular momentum

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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