aqora

Theoretical study on one-dimensional Bose-Einstein condensates with attractive interactions

理奈金本

Jan 1, 20040 citations

Homogeneous attractive Bose–Einstein condensates with repulsive three-body interactions: the two-dimensional case

Dinh-Thi Nguyen

arXiv:2608.29875Mathematische ZeitschriftJul 30, 20260 citations

Diagrammatic Quantum Monte Carlo Algorithm in Momentum Representation: Hess-Fairbank Effect and Mesoscopics in 1D BEC with Attractive Interaction

Petr F. Kartsev

A novel algorithm of Diagrammatic Quantum Monte Carlo in momentum representation is reported in details. New models can be studied with this algorithm. For Bose systems with attractive interaction, the algorithm is free of the well-known minus-sign problem, while in other models it is weaker than in real-space methods. Using this algorithm, we present the results of an exact numeric simulation of N one-dimensional bosons with attractive delta-functional interaction in a rotating ring. We prove that in the large-N limit the system can be described by conventional methods of weakly interacting gas, the dimensionless parameter of weak interaction being just 1/N. When the strength of interaction is less then a certain threshold value, the dependence of angular momentum on the rotation frequency features plateaus characteristic of the irrotational fluid (the Hess-Fairbank effect).A novel algorithm of Diagrammatic Quantum Monte Carlo in momentum representation is reported in details. New models can be studied with this algorithm. For Bose systems with attractive interaction, the algorithm is free of the well-known minus-sign problem, while in other models it is weaker than in real-space methods. Using this algorithm, we present the results of an exact numeric simulation of N one-dimensional bosons with attractive delta-functional interaction in a rotating ring. We prove that in the large-N limit the system can be described by conventional methods of weakly interacting gas, the dimensionless parameter of weak interaction being just 1/N. When the strength of interaction is less then a certain threshold value, the dependence of angular momentum on the rotation frequency features plateaus characteristic of the irrotational fluid (the Hess-Fairbank effect).

arXiv:cond-mat/0211356Nov 18, 20020 citations

Quantum phase transition in one-dimensional Bose-Einstein condensates with attractive interactions

Hiroki Saito

Jan 1, 20030 citations

D rag Force and Hess-Fairbank Effect in the One-Dimensional Bose Gas

Alexander Yu. Cherny, Joachim Brand

Different aspects of superfluidity in one dimension (1D) are discussed in this paper. It is shown that the Hess-Fairbank effect takes place in 1D at zero temperature. In particular, the rotational inertia of an interacting 1D Bose gas in a finite ring is zero. Nevertheless, our results indicate that the frictionless motion of impurities depends sensitively on the strength of interactions in the gas. In general, this is possible only in a limit of weak interactions. We obtain the phase diagram of frictionless motion for the gas immersed into a moving shallow optical lattice. In this case the drag force, a quantitative measure of superfluidity, can be zero at specific values of lattice velocity and the gas density even for strongDifferent aspects of superfluidity in one dimension (1D) are discussed in this paper. It is shown that the Hess-Fairbank effect takes place in 1D at zero temperature. In particular, the rotational inertia of an interacting 1D Bose gas in a finite ring is zero. Nevertheless, our results indicate that the frictionless motion of impurities depends sensitively on the strength of interactions in the gas. In general, this is possible only in a limit of weak interactions. We obtain the phase diagram of frictionless motion for the gas immersed into a moving shallow optical lattice. In this case the drag force, a quantitative measure of superfluidity, can be zero at specific values of lattice velocity and the gas density even for strong

Jan 1, 20100 citations

A new quantum Monte Carlo algorithm in the momentum representation: The sign problem and the Hess-Fairbank effect

Petr F. Kartsev

An exact numerical algorithm based on the diagrammatic quantum Monte Carlo method in the momentum representation is proposed; in many cases, this algorithm is free of the sign problem and extends the class of models that can be analyzed by cluster methods. The weakening of the sign problem is demonstrated via the determination of the ground state of electrons on a chain in the Hubbard model. The algorithm is applied to the investigation of the behavior of a one-dimensional boson system with attraction in a rotating ring in the region of the Hess-Fairbank effect predicted by Ueda and Leggett. The existence of this effect for a comparatively small number of particles N ∼ 10 is confirmed. An analytic boundary of this effect is determined in the limit as N → ∞.An exact numerical algorithm based on the diagrammatic quantum Monte Carlo method in the momentum representation is proposed; in many cases, this algorithm is free of the sign problem and extends the class of models that can be analyzed by cluster methods. The weakening of the sign problem is demonstrated via the determination of the ground state of electrons on a chain in the Hubbard model. The algorithm is applied to the investigation of the behavior of a one-dimensional boson system with attraction in a rotating ring in the region of the Hess-Fairbank effect predicted by Ueda and Leggett. The existence of this effect for a comparatively small number of particles N ∼ 10 is confirmed. An analytic boundary of this effect is determined in the limit as N → ∞.

Journal of Experimental and Theoretical PhysicsOct 1, 20031 citation

Many-Body Analysis of the Hess-Fairbank Effect in One-Dimensional Bose-Einstein Condensates with Attractive Interactions

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Many-Body Analysis of the Hess-Fairbank Effect in One-Dimensional Bose-Einstein Condensates with Attractive Interactions

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