Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Acta Physica Sinica

Dynamics of Bose-Einstein condensate trapped in a triple-well with synthetic gauge field

Qiang Wang, Chong Ye

Published Jan 1, 2012• 0 citations
Publisher

Abstract

We study bosonic atoms trapped in a triple-well with synthetic gauge field. The energy spectrum of the system can be tuned by an effective magnetic field. For a non-interacting system, eigen-states with different momenta will be the ground state with the magnetic field varying. In the full quantum scheme, we find the critical ratio between the tunneling and interaction strength for localization of system under the repulsive interaction. We also discuss the macro-rotation effect induced by the magnetic field and the boundary effect of the temporal evolution for a non-interacting system.

DOI
10.7498/aps.61.230304

Related papers

Cyclotron dynamics of a Bose—Einstein condensate in a quadruple-well potential with synthetic gauge fields

Wen-Yuan Wang, Ji Lin, Jie Liu

We investigate the cyclotron dynamics of Bose-Einstein condensate (BEC) in a quadruple-well potential with synthetic gauge fields. We use laser-assisted tunneling to generate large tunable effective magnetic fields for BEC. The mean position of BEC follows an orbit that simulated the cyclotron orbits of charged particles in a magnetic field. In the absence of atomic interaction, atom dynamics may exhibit periodic or quasi-periodic cyclotron orbits. In the presence of atomic interaction, the system may exhibit self-trapping, which depends on synthetic gauge fields and atomic interaction strength. In particular, the competition between synthetic gauge fields and atomic interaction leads to the generation of several discontinuous parameter windows for the transition to self-trapping, which is obviously different from that without synthetic gauge fields.

arXiv:2105.09487•Frontiers of Physics•Jun 5, 2021•6 citations

Quantum Cyclotron Orbits of a Neutral Atom Trapped in a Triple Well with a Synthetic Gauge Field

Qiang Wang, Chong Ye, Libin Fu

The strong effective magnetic fields with flux to the order of one flux quantum per plaquette has been realized for ultracold atoms, and the quantum cyclotron orbit of a single atom in a single plaquette exposed to the magnetic field was directly revealed recently [ Phys. Rev. Lett. 107 (2011) 255301 ]. We study the quantum cyclotron orbits of a bosonic atom in a triple well with a synthetic gauge field, and find that the dynamics of the atom in real space is similar to a classical dynamic billiard. It is interesting that the billiard-like motion is a signature of the quantum evolution of the three-level system, and its behaviors are determined by the ratio of the two energy gaps of the three energy levels.

Chinese Physics Letters•Jun 1, 2012•2 citations

Static and Dynamic of Rotating Bose-Einstein Condensates in Synthetic Magnetic Field

Yu Lan, Jingming Hua, Bing Wang +2 more

We consider theoretically static and dynamic properties of vortex formation in trapped Bose-Einstein condensates in synthetic magnetic field and compare the results created by rotating frame method.As the first step, we discuss the ground state properties and show that the number of vortices and rotational frequency is a linear relation.We further deduce the analytical results and find it qualitatively agrees with numerical solutions.In addition, we explore the vortex dynamics, focusing on the difference between the two rotational methods.Numerical results indicate that synthetic magnetic field is more difficult to add a large angular momentum.However, this issue can be effectively improved by increasing the contact interaction.

Acta Physica Polonica A•Aug 1, 2018•1 citation

Trapped Bose–Einstein condensates in synthetic magnetic field

Qiang Zhao, Qiang Gu

The rotational properties of Bose–Einstein condensates in a synthetic magnetic field are studied by numerically solving the Gross–Pitaevskii equation and comparing the results to those of condensates confined in a rotating trap. It appears to be more difficult to add a large angular momentum to condensates spun up by the synthetic magnetic field than by the rotating trap. However, strengthening the repulsive interaction between atoms is an effective and realizable route to overcoming this problem and can at least generate vortex-lattice-like structures. In addition, the validity of the Feynman rule for condensates in the synthetic magnetic field is verified.

arXiv:1508.06167•Frontiers of Physics•Oct 1, 2015•10 citations

Interaction-modulated tunneling dynamics of a mixture of Bose-Fermi superfluid

Hong-Ping Xu, Zhen-Zhen He, Zi-Fa Yu +1 more

In this paper, we study the interaction-modulated tunneling dynamics of a Bose-Fermi superfluid mixture, where a Bose-Einstein condensate (BEC) with weak repulsive interaction is confined in a symmetric deep double-well potential and an equally populated two-component Fermi gas in a harmonic potential symmetrically is positioned in the center of the double-well potential. The tunneling between the two wells is modulated by fermions trapped in a harmonic potential. When the temperature is adequately low and the bosonic particle number is adequately large, we can employ the mean-field theory to describe the evolution of the BEC in the double-well potential through the time-dependent Gross-Pitaevskii equation. For the Fermi gas in the harmonic potential trap, we consider the case where the inter-fermion interaction is tuned on the deep Bose-Einstein condensate of the inter-fermion Feshbach resonance, where two fermions of spin-up and spin-down form a two-body bound state. Within the regime, the Fermi gas is well described by a condensate of these fermionic dimers, and hence can be simulated as well by a Gross-Pitaevskii equation of dimers. The inter-species interactions couple the dynamics of the two species, which results in interesting features in the tunneling oscillations. The dynamic equations of the BEC in the double-well potential is described by a two-mode approximation. Coupling it with time-dependent Gross-Pitaevskii equation of the harmonically potential trapped molecular BEC, we numerically investigate the dynamical evolution of the Boson-Fermi hybrid system under different initial conditions. It is found that the interaction among fermions in a harmonic potential leads to strong non-linearity in the oscillations of the bosons in the double-well potential and enriches the tunneling dynamics of the bosons. Especially, it strengthens macroscopic quantum self-trapping. And the macroscopic quantum self-trapping can be expressed in three forms: the phase tends to be negative and monotonically decreases with time, the phase evolves with time, and the phase tends to be positive and increases monotonically with time. This means that it is possible the tunneling dynamics of the BEC in double-well potential is adjustable. Our results can be verified experimentally in a Bose-Fermi superfluid mixture by varying different interaction parameters via Feshbach resonance and confinement-induced resonance.

Acta Physica Sinica•Jan 1, 2022•1 citation

Quantum transition and parity effects of three coupled Bose–Einstein condensates subjected to an artificial gauge potential

Hui Cao, Qiang Wang, Libin Fu

The quantum transition of three coupled Bose–Einstein condensates subjected to an artificial gauge potential is studied in a full quantum description. It shows that as the attractive atomic interaction increases, the system undergoes a transition from non-degenerate to degenerate ground states. This quantum transition point will reach the phase transition point predicted by the mean-field methods when the particle number is infinite, and it can be controlled via the ‘magnetic flux’ ϕ induced by the artificial gauge potential. Specially, when ϕ is odd times of π , around the zero-interaction point, i.e. the phase transition point predicted by the mean-field approach, an interesting quantum phenomenon occurs that the system with finite particles shows different parity effects at two sides of this point. For attractive (repulsive) interaction, the ground state is non-degenerate only when the particle number is a multiple of two (three). The parity effect is due to the symmetric properties of the system at different sides of the transition point. The transition point is then protected by the system symmetry and does not change with the particle numbers.

Laser Physics•Apr 23, 2015•4 citations
We study bosonic atoms trapped in a triple-well with synthetic gauge field. The energy spectrum of the system can be tuned by an effective magnetic field. For a non-interacting system, eigen-states with different momenta will be the ground state with the magnetic field varying. In the full quantum scheme, we find the critical ratio between the tunneling and interaction strength for localization of system under the repulsive interaction. We also discuss the macro-rotation effect induced by the magnetic field and the boundary effect of the temporal evolution for a non-interacting system.
We investigate the cyclotron dynamics of Bose-Einstein condensate (BEC) in a quadruple-well potential with synthetic gauge fields. We use laser-assisted tunneling to generate large tunable effective magnetic fields for BEC. The mean position of BEC follows an orbit that simulated the cyclotron orbits of charged particles in a magnetic field. In the absence of atomic interaction, atom dynamics may exhibit periodic or quasi-periodic cyclotron orbits. In the presence of atomic interaction, the system may exhibit self-trapping, which depends on synthetic gauge fields and atomic interaction strength. In particular, the competition between synthetic gauge fields and atomic interaction leads to the generation of several discontinuous parameter windows for the transition to self-trapping, which is obviously different from that without synthetic gauge fields.
The strong effective magnetic fields with flux to the order of one flux quantum per plaquette has been realized for ultracold atoms, and the quantum cyclotron orbit of a single atom in a single plaquette exposed to the magnetic field was directly revealed recently [ Phys. Rev. Lett. 107 (2011) 255301 ]. We study the quantum cyclotron orbits of a bosonic atom in a triple well with a synthetic gauge field, and find that the dynamics of the atom in real space is similar to a classical dynamic billiard. It is interesting that the billiard-like motion is a signature of the quantum evolution of the three-level system, and its behaviors are determined by the ratio of the two energy gaps of the three energy levels.
We consider theoretically static and dynamic properties of vortex formation in trapped Bose-Einstein condensates in synthetic magnetic field and compare the results created by rotating frame method.As the first step, we discuss the ground state properties and show that the number of vortices and rotational frequency is a linear relation.We further deduce the analytical results and find it qualitatively agrees with numerical solutions.In addition, we explore the vortex dynamics, focusing on the difference between the two rotational methods.Numerical results indicate that synthetic magnetic field is more difficult to add a large angular momentum.However, this issue can be effectively improved by increasing the contact interaction.
The rotational properties of Bose–Einstein condensates in a synthetic magnetic field are studied by numerically solving the Gross–Pitaevskii equation and comparing the results to those of condensates confined in a rotating trap. It appears to be more difficult to add a large angular momentum to condensates spun up by the synthetic magnetic field than by the rotating trap. However, strengthening the repulsive interaction between atoms is an effective and realizable route to overcoming this problem and can at least generate vortex-lattice-like structures. In addition, the validity of the Feynman rule for condensates in the synthetic magnetic field is verified.
In this paper, we study the interaction-modulated tunneling dynamics of a Bose-Fermi superfluid mixture, where a Bose-Einstein condensate (BEC) with weak repulsive interaction is confined in a symmetric deep double-well potential and an equally populated two-component Fermi gas in a harmonic potential symmetrically is positioned in the center of the double-well potential. The tunneling between the two wells is modulated by fermions trapped in a harmonic potential. When the temperature is adequately low and the bosonic particle number is adequately large, we can employ the mean-field theory to describe the evolution of the BEC in the double-well potential through the time-dependent Gross-Pitaevskii equation. For the Fermi gas in the harmonic potential trap, we consider the case where the inter-fermion interaction is tuned on the deep Bose-Einstein condensate of the inter-fermion Feshbach resonance, where two fermions of spin-up and spin-down form a two-body bound state. Within the regime, the Fermi gas is well described by a condensate of these fermionic dimers, and hence can be simulated as well by a Gross-Pitaevskii equation of dimers. The inter-species interactions couple the dynamics of the two species, which results in interesting features in the tunneling oscillations. The dynamic equations of the BEC in the double-well potential is described by a two-mode approximation. Coupling it with time-dependent Gross-Pitaevskii equation of the harmonically potential trapped molecular BEC, we numerically investigate the dynamical evolution of the Boson-Fermi hybrid system under different initial conditions. It is found that the interaction among fermions in a harmonic potential leads to strong non-linearity in the oscillations of the bosons in the double-well potential and enriches the tunneling dynamics of the bosons. Especially, it strengthens macroscopic quantum self-trapping. And the macroscopic quantum self-trapping can be expressed in three forms: the phase tends to be negative and monotonically decreases with time, the phase evolves with time, and the phase tends to be positive and increases monotonically with time. This means that it is possible the tunneling dynamics of the BEC in double-well potential is adjustable. Our results can be verified experimentally in a Bose-Fermi superfluid mixture by varying different interaction parameters via Feshbach resonance and confinement-induced resonance.
The quantum transition of three coupled Bose–Einstein condensates subjected to an artificial gauge potential is studied in a full quantum description. It shows that as the attractive atomic interaction increases, the system undergoes a transition from non-degenerate to degenerate ground states. This quantum transition point will reach the phase transition point predicted by the mean-field methods when the particle number is infinite, and it can be controlled via the ‘magnetic flux’ ϕ induced by the artificial gauge potential. Specially, when ϕ is odd times of π , around the zero-interaction point, i.e. the phase transition point predicted by the mean-field approach, an interesting quantum phenomenon occurs that the system with finite particles shows different parity effects at two sides of this point. For attractive (repulsive) interaction, the ground state is non-degenerate only when the particle number is a multiple of two (three). The parity effect is due to the symmetric properties of the system at different sides of the transition point. The transition point is then protected by the system symmetry and does not change with the particle numbers.