https://doi.org/10.1140/epjd/s10053-025-01077-9
Regular Article – Quantum Information
Coherent state path integral Monte Carlo
Dipartimento di Fisica, Università di Trieste, strada Costiera 11, 34151, Grignano (Trieste), Italy
a
riccardo.fantoni@scuola.istruzione.it
Received:
22
April
2025
Accepted:
3
October
2025
Published online:
22
November
2025
We propose a new quantum simulation method for a many-body quantum liquid of identical particles at finite (nonzero) temperature. The new scheme expands the high-temperature density matrix on the overcomplete set of single particles coherent states of John Rider Klauder instead of the usual plane waves as in conventional path integral methods. One is free to tune the elastic constant and/or the mass of the harmonic oscillator subtending the coherent states so as to maximize the computational efficiency of the algorithm. We prove that in the limit of an extremely stiff harmonic oscillator the results for the internal energy tend toward the correct expected values. Moreover, we suggest that a stiff harmonic oscillator could allow the use of larger (imaginary) timesteps. This additional degree of freedom is the characteristic feature of our new algorithm and is not available in more conventional path integral methods.
Supplementary Information The online version contains supplementary material available at https://doi.org/10.1140/epjd/s10053-025-01077-9.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
