Stability of quantum liquid phases against environment-induced dissipation

Project funded by Fundação para a Ciência e a Tecnologia, I.P. (FCT) (FCT_CPCA_2023_01), grant 2024.00207.CPCA.A1. Funded amount: EUR 1,183.62, as stated by the source. Runs 2024-07-01 to 2025-05-31. Keywords: Exact sciences, Exact sciences/Physical sciences. Source: OpenAIRE Graph, from the funder's project data (collected by OpenAIRE on 2025-07-19); national funding data, not CORDIS. Abstract given by the source: It is of great interest to understand the impact of the coupling of quantum liquid phases to different environments. In this work, we will study the stability of the Luttinger liquid phase against environment-induced dissipation. To do this, we will develop a quantum Monte Carlo method in the continuous time path-integral formalism with worm updates. This algorithm will be carefully tested against exact diagonalization. After this, we shall apply it to the one-dimensional Bose-Hubbard model where each site is off-diagonally coupled to an independent infinite bosonic ohmic bath. We are in particular interested in the stability of the Luttinger liquid phase when coupled to an environment, but the Mott phase will also be analysed. Baths with different spectral functions will be studied in this work. Through power-counting arguments, we already predict either the existence of a bath-induced phase or the survival of the Luttinger liquid depending on the bath exponent and the Luttinger parameter. These quantum Monte Carlo simulations are state-of-the-art when it comes to studying large quantum systems since the computational time for simulations scales linearly with system size and inverse temperature. However, acquiring statistics with good enough accuracy requires a large number of Monte Carlo sweeps. Furthermore, we must also converge our results in temperature for large enough systems. Through a finite-size scaling analysis, we can then determine the ground state properties of our system in the thermodynamic limit. In this way, we point out that the scale and complexity of this project require access to significant computational resources in terms of computing power and hours.

Original source.

Source: OpenAIRE Graph: projects of national funders, OpenAIRE, from the project data of Fundação para a Ciência e a Tecnologia, I.P. (FCT). Retrieved 2026-10-28. Licence: Creative Commons Attribution 4.0 (OpenAIRE Graph). Selected metadata, adapted presentation; the publisher's record is authoritative. No endorsement by the source is implied. Licence: Creative Commons Attribution 4.0 (CC BY 4.0).

AI-assisted summary: The project "Stability of quantum liquid phases against environment-induced dissipation" is funded by FCT with a grant of EUR 1,183.62, running from July 1, 2024, to May 31, 2025. It aims to study the stability of the Luttinger liquid phase using a quantum Monte Carlo method. Suggested technology pillar: simulation. Generated by AI from the public source text; it may contain errors and the original source is authoritative.