Exact Spectral Function of a Tonks-Girardeau Gas in a Lattice
| Autor: | J. Settino, N. Lo Gullo, Anna Minguzzi, Francesco Plastina |
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| Přispěvatelé: | Laboratoire de physique et modélisation des milieux condensés (LPM2C ), Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA) |
| Rok vydání: | 2021 |
| Předmět: |
[PHYS]Physics [physics]
Condensed Matter::Quantum Gases Physics Quantum Physics Strongly Correlated Electrons (cond-mat.str-el) FOS: Physical sciences General Physics and Astronomy 01 natural sciences Condensed Matter - Strongly Correlated Electrons Tonks–Girardeau gas Singularity Quantum Gases (cond-mat.quant-gas) Ultracold atom Lattice (order) Quantum mechanics 0103 physical sciences Spectral function Quantum Physics (quant-ph) Condensed Matter - Quantum Gases 010306 general physics Structure factor Boson |
| Zdroj: | Physical Review Letters Physical Review Letters, American Physical Society, 2021, ⟨10.1103/PhysRevLett.126.065301⟩ |
| ISSN: | 1079-7114 0031-9007 |
| DOI: | 10.1103/physrevlett.126.065301 |
| Popis: | The single-particle spectral function of a strongly correlated system is an essential ingredient to describe its dynamics and transport properties. We develop a general method to calculate the exact spectral function of a strongly interacting one-dimensional Bose gas in the Tonks-Girardeau regime, valid for any type of confining potential, and apply it to bosons on a lattice to obtain the full spectral function, at all energy and momentum scales. We find that it displays three main singularity lines. The first two can be identified as the analogs of Lieb-I and Lieb-II modes of a uniform fluid; the third one, instead, is specifically due to the presence of the lattice. We show that the spectral function displays a power-law behaviour close to the Lieb-I and Lieb-II singularities, as predicted by the non-linear Luttinger liquid description, and obtain the exact exponents. In particular, the Lieb-II mode shows a divergence in the spectral function, differently from what happens in the dynamical structure factor, thus providing a route to probe it in experiments with ultracold atoms. 10 pages, 3 figures |
| Databáze: | OpenAIRE |
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