Frustrated spin chains in strong magnetic field: Dilute two-component Bose gas regime

Kolezhuk, A. K.; Heidrich-Meisner, Fabian; Greschner, Sebastian; Vekua, T.

doi:10.1103/physrevb.85.064420

Cited by 39 publications

(78 citation statements)

References 55 publications

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“…By comparison to a 1D Bose gas of particles with mass m and contact interaction, one may extract an effective interaction strength g ¼ −2=ðamÞ [51]. The scattering length diverges for jΓj → 1=2, Φ → 0, 2π but remains finite and negative for any other phase Φ which coincides with the observation that the AB-correlated hopping Hubbard model behaves as a repulsively interacting system for small filling even in the limit of U → 0.…”

Section: Fig 2 (Color Online) (A)mentioning

confidence: 64%

Density-Dependent Synthetic Gauge Fields Using Periodically Modulated Interactions

et al. 2014

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We show that density-dependent synthetic gauge fields may be engineered by combining periodically modulated interactions and Raman-assisted hopping in spin-dependent optical lattices. These fields lead to a density-dependent shift of the momentum distribution, may induce superfluid-to-Mott insulator transitions, and strongly modify correlations in the superfluid regime. We show that the interplay between the created gauge field and the broken sublattice symmetry results, as well, in an intriguing behavior at vanishing interactions, characterized by the appearance of a fractional Mott insulator. DOI: 10.1103/PhysRevLett.113.215303 PACS numbers: 67.85.-d, 03.65.Vf, 03.75.Lm, 37.10.Jk The emulation of synthetic electromagnetism in cold neutral gases has attracted major interest [1,2]. Artificial electric and magnetic fields have been induced using lasers [3][4][5]. Moreover, these setups may be extended to generate non-Abelian fields, and in particular, spin-orbit coupling [6][7][8][9][10][11][12][13]. Synthetic fields may be generated as well in optical lattices, and recent experiments have created artificial staggered [14][15][16] and uniform [17,18] magnetic fields. These fields are, however, static, as they are not influenced by the atoms.The dynamical feedback between matter and gauge fields plays an important role in various areas of physics, ranging from condensed matter [19] to quantum chromodynamics [20], and its realization in cold lattice gases is attracting growing attention [21]. Schemes have been recently proposed for multicomponent lattice gases, such that the low-energy description of these systems is that of relevant quantum field theories [22][23][24][25][26][27][28][29][30][31]. The backaction of the atoms on the value of a synthetic gauge field is expected to lead to interesting physics, including statistically induced phase transitions and anyons in 1D lattices [32], and chiral solitons in Bose-Einstein condensates [33].Periodically modulated optical lattices open interesting possibilities for the engineering of lattice gases [16][17][18][34][35][36][37][38][39][40]. In particular, periodic lattice shaking results in a modified hopping rate [34][35][36], which has been employed to drive the superfluid (SF) to Mott insulator (MI) transition [37], to simulate frustrated classical magnetism [38], and to create tunable gauge potentials [16]. Interestingly, a periodically modulated magnetic field may be employed in the vicinity of a Feshbach resonance to induce periodically modulated interactions, which result in a nonlinear hopping rate that depends on the occupation differences at neighboring sites [41][42][43].In this Letter, we show that combining periodic interactions and Raman-assisted hopping may induce a densitydependent gauge field in 1D lattices. The created field results in a density-dependent shift of the momentum distribution that may be probed in time-of-flight (TOF) experiments. Moreover, contrary to the Peierls phase induced in shaken lattices [16], the created field cannot be ga...

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Section: Fig 2 (Color Online) (A)mentioning

confidence: 64%

Density-Dependent Synthetic Gauge Fields Using Periodically Modulated Interactions

et al. 2014

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“…Note that the physics at low densities is very similar to that of frustrated chains in high magnetic fields below saturation (see [54][55][56] and references therein). For bosons and in the limit of vanishing density, once the single-particle dispersion acquires a double-minimum, the c = 2 LL is stabilized.…”

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confidence: 65%

Vortex and Meissner phases of strongly interacting bosons on a two-leg ladder

et al. 2015

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We establish the phase diagram of the strongly-interacting Bose-Hubbard model defined on a two-leg ladder geometry in the presence of a homogeneous flux. Our work is motivated by a recent experiment [Atala et al., Nature Phys. 10, 588 (2014)], which studied the same system, in the complementary regime of weak interactions. Based on extensive density matrix renormalization group simulations and a bosonization analysis, we fully explore the parameter space spanned by filling, inter-leg tunneling, and flux. As a main result, we demonstrate the existence of gapless and gapped Meissner and vortex phases, with the gapped states emerging in Mott-insulating regimes. We calculate experimentally accessible observables such as chiral currents and vortex patterns.Introduction. The quantum states of interacting electrons in the presence of spin-orbit coupling and magnetic fields are attracting significant attention in condensed matter physics because of their connection to Quantum Hall physics [1], topological insulators [2-4] and the emergence of unusual excitations in low dimensions [5,6]. Recent progress with quantum gas experiments has led to the realization of artificial gauge fields [7], both in the continuum [8][9][10] and for bosons in optical lattices [11][12][13][14], paving the way for future experiments on the interplay of interactions, dimensionality, and gauge fields in a systematic manner. This has motivated theoretical research into the physics of strongly interacting particles in the presence of abelian and non-abelian gauge fields and various questions such as the Quantum Hall effect with bosons [15][16][17][18][19][20][21][22], unusual quantum magnetism [23][24][25][26], and the emergence of topologically protected phases [27][28][29] have been addressed.

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“…Note that for S ≥ 1 the hard-core constraint is not required and as a result the U -term is absent from the two-magnon Hamiltonian 25 . The Hamiltonian within the two-magnon subspace retains the form in (28) but now the interaction term is a bit more complicated,…”

Section: Higher Spinmentioning

confidence: 99%

“…It is also bounded below by zero, so that the exponent in Eq. (25) varies between 0 and 2/3. Once again, we caution that the expression must be taken with care, since it does not in fact apply at the lowest fields.…”

Section: E Phenomenological Analysis At Low Fieldmentioning

confidence: 99%

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Ground states of spin-12triangular antiferromagnets in a magnetic field

Chen

Jiang

et al. 2013

Phys. Rev. B

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We use a combination of numerical density matrix renormalization group (DMRG) calculations and several analytical approaches to comprehensively study a simplified model for a spatially anisotropic spin-1/2 triangular lattice Heisenberg antiferromagnet: the three-leg triangular spin tube (TST). The model is described by three Heisenberg chains, with exchange constant J, coupled antiferromagnetically with exchange constant J along the diagonals of the ladder system, with periodic boundary conditions in the shorter direction. Here we determine the full phase diagram of this model as a function of both spatial anisotropy (between the isotropic and decoupled chain limits) and magnetic field. We find a rich phase diagram, which is remarkably dominated by quantum states -the phase corresponding to the classical ground state appears only in an exceedingly small region. Among the dominant phases generated by quantum effects are commensurate and incommensurate coplanar quasi-ordered states, which appear in the vicinity of the isotropic region for most fields, and in the high field region for most anisotropies. The coplanar states, while not classical ground states, can at least be understood semiclassically. Even more strikingly, the largest region of phase space is occupied by a spin density wave phase, which has incommensurate collinear correlations along the field. This phase has no semiclassical analog, and may be ascribed to enhanced one-dimensional fluctuations due to frustration. Cutting across the phase diagram is a magnetization plateau, with a gap to all excitations and "up up down" spin order, with a quantized magnetization equal to 1/3 of the saturation value. In the TST, this plateau extends almost but not quite to the decoupled chains limit. Most of the above features are expected to carry over to the two dimensional system, which we also discuss. At low field, a dimerized phase appears, which is particular to the one dimensional nature of the TST, and which can be understood from quantum Berry phase arguments.

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Frustrated spin chains in strong magnetic field: Dilute two-component Bose gas regime

Cited by 39 publications

References 55 publications

Density-Dependent Synthetic Gauge Fields Using Periodically Modulated Interactions

Density-Dependent Synthetic Gauge Fields Using Periodically Modulated Interactions

Vortex and Meissner phases of strongly interacting bosons on a two-leg ladder

Ground states of spin-12triangular antiferromagnets in a magnetic field

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