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: Univ Florence, LENS, I-50019 Sesto Fiorentino, Italy; Univ Florence, Dipartimento Fis & Astron, I-50019 Sesto Fiorentino, Italy; Duke Univ, Dept Phys, Durham, NC 27708 USA; Univ Paris Saclay, Univ Paris 11, CNRS, LPTMS, F-91405 Orsay, France; CNR, Ist Nazl Ott, I-50019 Sesto Fiorentino, Italy; Univ Geneva, Dept Quantum Matter Phys, CH-1211 Geneva, 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: 14
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