Direct observation of dynamical quasi-condensation on a quantum computer

Fuente: arXiv
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Main Authors: Frey, Philipp, Rachel, Stephan
Format: Preprint
Published: 2024
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author Frey, Philipp
Rachel, Stephan
author_facet Frey, Philipp
Rachel, Stephan
contents Hard-core bosons (HCB) in one dimension are predicted to show surprisingly interesting dynamics after a quantum quench. Far from equilibrium, quasi-condensation at finite momenta has been observed in numerical studies, while the equilibrium state at late times is expected to violate conventional thermodynamics. The integrability of the model supposedly constraints the momentum distribution to approach a generalized Gibbs ensemble. The experimental observation of these phenomena has proven non-trivial, as optical lattice platforms do not directly access the momentum distribution. NISQ devices overcome this limitation. We use circuit compression in order to simulate dynamics to arbitrarily long times with negligible Trotter-error on IBMQ and directly observe quasi-condensation. Coherence is maintained across all time scales as indicated by the lowest natural orbitals. The equilibrium distribution at late times is seemingly well described by a Gibbs ensemble, indicating that small but finite systematic errors perturb the hard-core boson model away from integrability. We demonstrate that quantum simulation provides observational access to HCB physics.
format Preprint
id arxiv_https___arxiv_org_abs_2411_02510
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Direct observation of dynamical quasi-condensation on a quantum computer
Frey, Philipp
Rachel, Stephan
Quantum Physics
Hard-core bosons (HCB) in one dimension are predicted to show surprisingly interesting dynamics after a quantum quench. Far from equilibrium, quasi-condensation at finite momenta has been observed in numerical studies, while the equilibrium state at late times is expected to violate conventional thermodynamics. The integrability of the model supposedly constraints the momentum distribution to approach a generalized Gibbs ensemble. The experimental observation of these phenomena has proven non-trivial, as optical lattice platforms do not directly access the momentum distribution. NISQ devices overcome this limitation. We use circuit compression in order to simulate dynamics to arbitrarily long times with negligible Trotter-error on IBMQ and directly observe quasi-condensation. Coherence is maintained across all time scales as indicated by the lowest natural orbitals. The equilibrium distribution at late times is seemingly well described by a Gibbs ensemble, indicating that small but finite systematic errors perturb the hard-core boson model away from integrability. We demonstrate that quantum simulation provides observational access to HCB physics.
title Direct observation of dynamical quasi-condensation on a quantum computer
topic Quantum Physics
url https://arxiv.org/abs/2411.02510