1,246 research outputs found
Quantum phases of strongly-interacting bosons on a two-leg Haldane ladder
We study the ground-state physics of a single-component Haldane model on a
hexagonal two-leg ladder geometry with a particular focus on strongly
interacting bosonic particles. We concentrate our analysis on the regime of
less than one particle per unit-cell. As a main result, we observe several
Meissner-like and vortex-fluid phases both for a superfluid as well as a
Mott-insulating background. Furthermore, we show that for strongly interacting
bosonic particles an unconventional vortex-lattice phase emerges, which is
stable even in the regime of hardcore bosons. We discuss the mechanism for its
stabilization for finite interactions by a means of an analytical
approximation. We show how the different phases may be discerned by measuring
the nearest- and next-nearest-neighbor chiral currents as well as their
characteristic momentum distributions.Comment: 13 pages, 20 figure
Transport in quasi one-dimensional spin-1/2 systems
We present numerical results for the spin and thermal conductivity of
one-dimensional (1D) quantum spin systems. We contrast the properties of
integrable models such as the spin-1/2 XXZ chain against nonintegrable ones
such as frustrated and dimerized chains. The thermal conductivity of the XXZ
chain is ballistic at finite temperatures, while in the nonintegrable models,
this quantity is argued to vanish. For the case of frustrated and dimerized
chains, we discuss the frequency dependence of the transport coefficients.
Finally, we give an overview over related theoretical work on intrinsic and
extrinsic scattering mechanisms of quasi-1D spin systems.Comment: 11 pages, 7 figure
Thermal conductivity of the one-dimensional Fermi-Hubbard model
We study the thermal conductivity of the one-dimensional Fermi-Hubbard model
at finite temperature using a density matrix renormalization group approach.
The integrability of this model gives rise to ballistic thermal transport. We
calculate the temperature dependence of the thermal Drude weight at half
filling for various interactions and moreover, we compute its filling
dependence at infinite temperature. The finite-frequency contributions
originating from the fact that the energy current is not a conserved quantity
are investigated as well. We report evidence that breaking the integrability
through a nearest-neighbor interaction leads to vanishing Drude weights and
diffusive energy transport. Moreover, we demonstrate that energy spreads
ballistically in local quenches with initially inhomogeneous energy density
profiles in the integrable case. We discuss the relevance of our results for
thermalization in ultra-cold quantum gas experiments and for transport
measurements with quasi-one dimensional materials
Transport in dimerized and frustrated spin systems
We analyze the Drude weight for both spin and thermal transport of
one-dimensional spin-1/2 systems by means of exact diagonalization at finite
temperatures. While the Drude weights are non-zero for finite systems, we find
indications of a vanishing of the Drude weights in the thermodynamic limit for
non-integrable models implying normal transport behavior.Comment: 2 pages, 1 figure. Proceedings of the ICM 2003, Rom
Relaxation and thermalization in the one-dimensional Bose-Hubbard model: A case study for the interaction quantum quench from the atomic limit
Motivated by recent experiments, we study the relaxation dynamics and
thermalization in the one-dimensional Bose-Hubbard model induced by a global
interaction quench. Specifically, we start from an initial state that has
exactly one boson per site and is the ground state of a system with infinitely
strong repulsive interactions at unit filling. Using exact diagonalization and
the density matrix renormalization group method, we compute the time dependence
of such observables as the multiple occupancy and the momentum distribution
function. Typically, the relaxation to stationary values occurs over just a few
tunneling times. The stationary values are identical to the so-called diagonal
ensemble on the system sizes accessible to our numerical methods and we further
observe that the micro-canonical ensemble describes the steady state of many
observables reasonably well for small and intermediate interaction strength.
The expectation values of observables in the canonical ensemble agree
quantitatively with the time averages obtained from the quench at small
interaction strengths, and qualitatively provide a good description of
steady-state values even in parameter regimes where the micro-canonical
ensemble is not applicable due to finite-size effects. We discuss our numerical
results in the framework of the eigenstate thermalization hypothesis. Moreover,
we also observe that the diagonal and the canonical ensemble are practically
identical for our initial conditions already on the level of their respective
energy distributions for small interaction strengths. Finally, we discuss
implications of our results for the interpretation of a recent sudden expansion
experiment [Phys. Rev. Lett. 110, 205301 (2013)], in which the same interaction
quench was realized.Comment: 19 pages, 22 figure
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