Quantum phases of hardcore bosons in two coupled chains: A density matrix renormalization group study

Pandey, Bradraj; Sinha, Subhasis; Pati, Swapan K.

doi:10.1103/physrevb.91.214432

Cited by 6 publications

(5 citation statements)

References 62 publications

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“…We also found that in presence of V d , small values of repulsive interaction V r is enough to produce a CDW-phase 72 . As shown in Fig.10(a), the pair correlation function, P (r), shows power law behaviour up to V r ∼ 0.24, while for larger values of V r , it decays exponentially.…”

Section: Effect Of Intersite Repulsive Interactionsmentioning

confidence: 53%

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Triplet superfluidity on a triangular ladder with dipolar fermions

Pandey

Pati

2017

Phys. Rev. B

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Motivated by recent experimental progress in the field of dipolar-Fermi gases, we investigate the quantum phases of dipolar fermions, on a triangular ladder at half filling. Using density matrix renormalization group method, in presence of onsite repulsion and intersite attractive interaction, we find exotic spin-triplet superfluid phase in addition to the usual spin-density and charge-density waves. We examine the stability of spin-triplet superfluid phase by varying hopping along the rungs of the triangle. Possibility of fermionic supersolidity has also been discussed, by considering threebody interaction in the Hamiltonian. We also study the effect of spin-dependent hopping on the stability of spin-triplet superfluid phase.

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Section: Effect Of Intersite Repulsive Interactionsmentioning

confidence: 53%

“…In the presence of attractive interaction, V a , along the rungs of the triangles, the fermions in each of the chain become correlated with each other. We also found that in presence of V d , small values of repulsive interaction V r is enough to produce a CDW-phase 72 . As shown in Fig.…”

Section: Effect Of Intersite Repulsive Interactionsmentioning

confidence: 53%

Triplet superfluidity on a triangular ladder with dipolar fermions

Pandey

Pati

2017

Phys. Rev. B

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“…1 and S(k) 0 for k = π [34]. This DW state is expected to melt with increasing λ leading to a vanishing of peak of S(k) at k = π.…”

Section: By ∆ Kmentioning

confidence: 97%

“…We first note that in the limit λ/t << 1 the ground state forms a DW leading to S(π) 1 and S(k) 0 for k = π [34]. This DW state is expected to melt with increasing λ leading to a vanishing of peak of S(k) at k = π.…”

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confidence: 99%

Bosons with incommensurate potential and spin-orbit coupling

et al. 2017

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We chart out the phase diagram of ultracold 'spin-half' bosons in a one-dimensional optical lattice in the presence of Aubry-André (AA) potential and with spin-orbit (SO) and Raman couplings investigating the transition from superfluid (SF) to localized phases and the existence of density wave phase for nearest-neighbor interaction (NNI). We show that the presence of SO coupling and AA potential leads to a novel spin-split momentum distribution of the bosons in the localized phase near the boundary with the SF phase, which can act as a signature of such a transition. We also obtain the level statistics of the bosons in the superfluid phase with finite NNI and demonstrate its change from Gaussian Unitary Ensemble (GUE) to Gaussian Orthogonal Ensemble (GOE) as a function of the Raman coupling. We discuss experiments which can test our theory. The study of localization phenomena in correlated systems has regained a new interest recently in the context of many-body localization (MBL) [1, 2]. Ultracold atoms in optical lattices, which act as emulators of strongly correlated model Hamiltonians [3], can serve as test beds for such phenomena [4]. In this context, systems with quasiperiodic potentials, which have posed several interesting theoretical challenges over may decades [5][6][7], turn out to be particularly relevant. A model Hamiltonian describing such a quasiperiodic system is the wellknown Aubry-André (AA) model [8], which, unlike the Andreson model, exhibits localization transition in 1D [8,9]. This property of the AA model has generated an impetus to study MBL [10,11]. Moreover, experimental realization of the AA model in bichromatic optical lattice has led to observation of localization of both light [12] and ultracold matter wave [13,14].In recent past, extensive research on the Bose-Hubbard (BH) model using ultracold bosonic atoms in optical lattices paved the way for studying the effect of interactions on localization phenomenon leading to possible glassy phases [16][17][18][19]. In addition, intense theoretical studies has also been carried out on the BH model in the presence of Abelian and non-Abelian gauge fields; such gauge fields have been experimentally realized in atom-laser systems [20,21]. Such systems allow for observation of several exciting phenomena [22][23][24]; most interestingly, they enable us to study strongly interacting bosons in the presence of tunable spin-orbit (SO) coupling [25][26][27][28]. The realization of the AA model in bichromatic lattice and the creation of SO interactions for ultracold bosons therefore provides an unique opportunity to study localization phenomenon induced by the AA potential in presence of tunable SO interactions.In this work, we study a two-species Bose-Hubbard model coupled by Raman frequency Ω, in the presence of an AA potential and a SO coupling and show that such a system leads to several novel features which appear only in the presence of both the AA potential and the SO coupling. The central results of our study are as follows. First, we chart out...

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“…Email: chleecn@gmail.com body LZ process of the BH ladder. This experiment has stimulated extensive investigation of both stationary and dynamic behaviors in the BHL via different theoretical methods, such as, full diagonalization method [23] and time-dependent density-matrix renormalization group (t -DMRG) technique [24][25][26]. However, the full diagonalization and t -DMRG methods should cost a huge number of computational resources.…”

Section: Introductionmentioning

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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Quantum phases of hardcore bosons in two coupled chains: A density matrix renormalization group study

Cited by 6 publications

References 62 publications

Triplet superfluidity on a triangular ladder with dipolar fermions

Triplet superfluidity on a triangular ladder with dipolar fermions

Bosons with incommensurate potential and spin-orbit coupling

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

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