Berezinskii-Kosterlitz-Thouless transition in two-dimensional dipolar stripes

Bombín, Raúl; Mazzanti, F.; Boronat, J.

doi:10.1103/physreva.100.063614

Cited by 18 publications

(6 citation statements)

References 49 publications

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“…At finite temperature, enhanced fluctuation in 2D will destroy the long-range order, but a quasi-long-range order may survive. A phase transition belonging to the usual Berezinskii-Kosterlitz-Thouless universality class is expected; this has been studied in Monte Carlo simulation [32,33]. Thus, the T c curves discussed here, are in a strict sense, RPA instability lines.…”

mentioning

confidence: 84%

Finite temperature instabilities of 2D dipolar Bose gas at arbitrary tilt angle

Shen,

Quader

2020

Preprint

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Advances in creating stable dipolar Bose systems, and ingenious box traps have generated tremendous interest. Theory study of dipolar bosons at finite temperature (T) has been limited. Motivated by these, we study 2D dipolar bosons at arbitrary tilt angle, θ, using finite-T random phase approximation. We show that a comprehensive understanding of phases and instabilities at non-zero T can be obtained on concurrently considering dipole strength, density, temperature and θ. We find the system to be in a homogeneous non-condensed phase that undergoes a collapse transition at large θ, and a finite momentum instability, signaling a striped phase, at large dipolar strength; there are important differences with the T=0 case. At T = 0, BEC appears at critical dipolar strength, and at critical density. Our predictions for polar molecule system, 41 K 87 Rb, and 166 Er may provide tests of our results. Our approach may apply broadly to systems with long-range, anisotropic interactions.

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confidence: 84%

Finite temperature instabilities of 2D dipolar Bose gas at arbitrary tilt angle

Shen,

Quader

2020

Preprint

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“…The PIMC method implementing the worm algorithm has proven to be one of the most powerful computational quantum many-body techniques. It allowed performing accurate simulations of intriguing phenomena in different condensed matter systems, such as dipolar systems [10][11][12], ultracold gases [13][14][15][16][17] and quantum fluids and solids [18][19][20][21][22][23][24]. However, the original implementation of the worm algorithm is not fully compatible with periodic boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Path-Integral Monte Carlo Worm Algorithm for Bose Systems with Periodic Boundary Conditions

2022

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We provide a detailed description of the path-integral Monte Carlo worm algorithm used to exactly calculate the thermodynamics of Bose systems in the canonical ensemble. The algorithm is fully consistent with periodic boundary conditions, which are applied to simulate homogeneous phases of bulk systems, and it does not require any limitation in the length of the Monte Carlo moves realizing the sampling of the probability distribution function in the space of path configurations. The result is achieved by adopting a representation of the path coordinates where only the initial point of each path is inside the simulation box, the remaining ones being free to span the entire space. Detailed balance can thereby be ensured for any update of the path configurations without the ambiguity of the selection of the periodic image of the particles involved. We benchmark the algorithm using the non-interacting Bose gas model for which exact results for the partition function at finite number of particles can be derived. Convergence issues and the approach to the thermodynamic limit are also addressed for interacting systems of hard spheres in the regime of high density.

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Section: Introductionmentioning

confidence: 99%

Path-integral Monte Carlo worm algorithm for Bose systems with periodic boundary conditions

Spada,

Giorgini,

Pilati

2022

Preprint

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We provide a detailed description of the path-integral Monte Carlo worm algorithm used to exactly calculate the thermodynamics of Bose systems in the canonical ensemble. The algorithm is fully consistent with periodic boundary conditions, that are applied to simulate homogeneous phases of bulk systems, and it does not require any limitation in the length of the Monte Carlo moves realizing the sampling of the probability distribution function in the space of path configurations. The result is achieved adopting a representation of the path coordinates where only the initial point of each path is inside the simulation box, the remaining ones being free to span the entire space. Detailed balance can thereby be ensured for any update of the path configurations without the ambiguity of the selection of the periodic image of the particles involved. We benchmark the algorithm using the non-interacting Bose gas model for which exact results for the partition function at finite number of particles can be derived. Convergence issues and the approach to the thermodynamic limit are also addressed for interacting systems of hard spheres in the regime of high density.

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Berezinskii-Kosterlitz-Thouless transition in two-dimensional dipolar stripes

Cited by 18 publications

References 49 publications

Finite temperature instabilities of 2D dipolar Bose gas at arbitrary tilt angle

Finite temperature instabilities of 2D dipolar Bose gas at arbitrary tilt angle

Path-Integral Monte Carlo Worm Algorithm for Bose Systems with Periodic Boundary Conditions

Path-integral Monte Carlo worm algorithm for Bose systems with periodic boundary conditions

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