Variational Ground-State Quantum Adiabatic Theorem
We present a variational quantum adiabatic theorem, which states that, under certain assumptions, the adiabatic dynamics projected onto a variational manifold follow the instantaneous variational ground state. We focus on low-entanglement variational manifolds and target Hamiltonians with classical ground states. Despite highly entangled intermediate states along the exact adiabatic path, the variational evolution converges to the target ground state. We demonstrate this approach with several examples that align with our theoretical analysis.
Authors
- Pietro Torta (ORCID: https://orcid.org/0000-0002-8508-6442)
- Mario Collura (ORCID: https://orcid.org/0000-0003-2615-8140)
- Bojan Žunkovič (ORCID: https://orcid.org/0000-0002-5085-2506)
- Guglielmo Lami (ORCID: https://orcid.org/0000-0002-1778-7263)
- Giovanni Pecci (ORCID: https://orcid.org/0000-0002-9081-8361)
Institutions
- Scuola Internazionale Superiore di Studi Avanzati (IT)
- University of Trieste (IT)
- University of Ljubljana (SI)
- University of Milan (IT)
- Istituto Officina dei Materiali (IT)
- CY Cergy Paris Université (FR)
- Istituto Nazionale di Fisica Nucleare, Sezione di Trieste (IT)
Publication Details
- Journal
- Physical Review Letters
- Published
- 2025-03-31
- DOI
- https://doi.org/10.1103/physrevlett.134.130601
- Citations
- 3
- Primary Topic
- Quantum many-body systems
- Type
- article
- Field-Weighted Citation Impact
- 3.74
Funders
- Agence Nationale de la Recherche
- Agenzia Spaziale Italiana
- Javna Agencija za Raziskovalno Dejavnost RS
- Univerza v Ljubljani
- Horizon 2020 Framework Programme
- Multidisciplinary University Research Initiative
- H2020 European Research Council