Scientific Results

Finite-temperature effects on interacting bosonic one-dimensional systems in disordered lattices

Year: 2016

Authors: Gori L., Barthel T., Kumar A., Lucioni E., Tanzi L., Inguscio M., Modugno G., Giamarchi T., D’Errico C., Roux G.

Autors Affiliation: LENS, Dipartimento di Fisica e Astronomia, Universitá di Firenze, Sesto Fiorentino, 50019, Italy; Department of Physics, Duke University, Durham, NC 27708, United States; LPTMS, CNRS, Univ. Paris-Sud, Université Paris-Saclay, Orsay, 91405, France; Istituto Nazionale di Ottica, CNR, Sesto Fiorentino, 50019, Italy; Department of Quantum Matter Physics, University of Geneva, Geneva, 1211, Switzerland

Abstract: We analyze the finite-temperature effects on the phase diagram describing the insulating properties of interacting one-dimensional bosons in a quasiperiodic lattice. We examine thermal effects by comparing experimental results to exact diagonalization for small-sized systems and to density-matrix renormalization group (DMRG) computations. At weak interactions, we find short thermal correlation lengths, indicating a substantial impact of temperature on the system coherence. Conversely, at strong interactions, the obtained thermal correlation lengths are significantly larger than the localization length, and the quantum nature of the T = 0 Bose-glass phase is preserved up to a crossover temperature that depends on the disorder strength. Furthermore, in the absence of disorder, we show how quasiexact finite-T DMRG computations, compared to experimental results, can be employed to estimate the temperature, which is not directly accessible in the experiment.

Journal/Review: PHYSICAL REVIEW A

Volume: 93      Pages from: 033650-1  to: 033650-14

More Information: This work was supported by the ERC (Grant No. 247371-DISQUA), by the EU-H2020 research and innovation programme (Grant No. 641122-QUIC) and by the Italian MIUR (Grant No. RBFR12NLNA-ArtiQuS). G.R. acknowledges support from the French ANR Program No. ANR-2011-BS04-012-01 QuDec. T.G. acknowledges support from the Swiss SNF under Division II.
KeyWords: Bosons; Statistical mechanics; Temperature, Crossover temperature; Density matrix renormalization group; Exact diagonalization; Impact of temperatures; Insulating properties; One-dimensional bosons; One-dimensional systems; Quasi-periodic lattices, Thermal effects
DOI: 10.1103/PhysRevA.93.033650

Citations: 9
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