Spontaneous Increase of Magnetic Flux and Chiral-Current Reversal in Bosonic Ladders: Swimming against the Tide

Greschner, Sebastian; Piraud, Marie; Heidrich-Meisner, Fabian; McCulloch, Ian P.; Schollwöck, Ulrich; Vekua, T.

doi:10.1103/physrevlett.115.190402

Cited by 96 publications

(129 citation statements)

References 38 publications

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“…Adjusting the overall phase θ adds a constant magnetic vector potential, which changes the gauge but not the magnetic flux. A magnetic field generates chiral currents flowing along the two legs of a ladder [23,[52][53][54][55]. This leads to remarkable phenomena when reinterpreted in terms of particles in a driven harmonic trap.…”

Section: A Chirality In a Two-leg Laddermentioning

confidence: 99%

Synthetic dimensions for cold atoms from shaking a harmonic trap

2017

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We introduce a simple scheme to implement synthetic dimensions in ultracold atomic gases, which only requires two basic and ubiquitous ingredients: the harmonic trap, which confines the atoms, combined with a periodic shaking. In our approach, standard harmonic oscillator eigenstates are reinterpreted as lattice sites along a synthetic dimension, while the coupling between these lattice sites is controlled by the applied time-modulation. The phase of this modulation enters as a complex hopping phase, leading straightforwardly to an artificial magnetic field upon adding a second dimension. We show that this artificial gauge field has important consequences, such as the counterintuitive reduction of average energy under resonant driving, or the realisation of quantum Hall physics. Our approach offers significant advantages over previous implementations of synthetic dimensions, providing an intriguing route towards higher-dimensional topological physics and strongly-correlated states.

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Section: A Chirality In a Two-leg Laddermentioning

confidence: 99%

Synthetic dimensions for cold atoms from shaking a harmonic trap

2017

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“…The artificial gauge fields, which allow one to generate spinorbit couplings and effective magnetic fields, opens a new path to explore quantum Hall effect and topological phases of matters. Our cluster Gutzwiller meanfield approach can also be extended to investigate the bosonic ladders in the presence of an artificial magnetic field [26,[57][58][59][60][61][62][63], such as the observation of chiral currents [57], the measurement of Chern number in Hofstadter bands [58,63], and the two-leg Bose-Hubbard ladder under a magnetic flux [26,61]. In addition, our cluster Gutzwiller mean-field approach may also use to explore the non-equilibrium dynamics of two coupled onedimensional Luttinger liquids [64] and the dynamical instability of interacting bosons in disordered lattices [65].…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Cluster Gutzwiller study of the Bose-Hubbard ladder: Ground-state phase diagram and many-body Landau-Zener dynamics

et al. 2015

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We present a cluster Gutzwiller mean-field study for ground states and time-evolution dynamics in the Bose-Hubbard ladder (BHL), which can be realized by loading Bose atoms in double-well optical lattices. In our cluster mean-field approach, we treat each double-well unit of two lattice sites as a coherent whole for composing the cluster Gutzwiller ansatz, which may remain some residual correlations in each two-site unit. For a unbiased BHL, in addition to conventional superfluid phase and integer Mott insulator phases, we find that there are exotic fractional insulator phases if the inter-chain tunneling is much stronger than the intra-chain one. The fractional insulator phases can not be found by using a conventional mean-field treatment based upon the single-site Gutzwiller ansatz. For a biased BHL, we find there appear single-atom tunneling and interaction blockade if the system is dominated by the interplay between the on-site interaction and the inter-chain bias. In the many-body Landau-Zener process, in which the inter-chain bias is linearly swept from negative to positive or vice versa, our numerical results are qualitatively consistent with the experimental observation [Nat. Phys. 7, 61 (2011)]. Our cluster bosonic Gutzwiller treatment is of promising perspectives in exploring exotic quantum phases and time-evolution dynamics of bosonic particles in superlattices.

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“…A useful quantity for determining phase boundaries numerically in the presence of flux is the chiral current 41,42 defined as j c = ∂H ∂φ . In Fig.…”

Section: Numerical Resultsmentioning

confidence: 99%

Topological quasi-one-dimensional state of interacting spinless electrons

Sun

Vekua

2016

Phys. Rev. B

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By decreasing the transversal confinement potential in interacting one-dimensional spinless electrons and populating the second energetically lowest sub-band, for not too strong interactions system transitions into a quasi-one-dimensional state with dominant superconducting correlations and one gapless mode. By combining effective field theory approach and numerical density matrix renormalization group simulations we show that this quasi-one-dimensional state is a topological state that hosts zero-energy edge modes. We also study the single-particle correlations across the interface between this quasi-one-dimensional and single-channel states.

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Spontaneous Increase of Magnetic Flux and Chiral-Current Reversal in Bosonic Ladders: Swimming against the Tide

Cited by 96 publications

References 38 publications

Synthetic dimensions for cold atoms from shaking a harmonic trap

Synthetic dimensions for cold atoms from shaking a harmonic trap

Cluster Gutzwiller study of the Bose-Hubbard ladder: Ground-state phase diagram and many-body Landau-Zener dynamics

Topological quasi-one-dimensional state of interacting spinless electrons

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