Simulating Heisenberg interactions in the Ising model with strong drive fields

Ciavarella, Anthony N.; Caspar, Stephan; Singh, Hersh; Savage, Martin J.; Lougovski, Pavel

doi:10.1103/physreva.108.042216

Simulating Heisenberg interactions in the Ising model with strong drive fields

Journal Article · Tue Oct 24 00:00:00 EDT 2023 · Physical Review A

DOI:https://doi.org/10.1103/physreva.108.042216· OSTI ID:2259244

^[1]; ^[2]; ^[2]; Savage, Martin J. ^[2]; ^[3]

Univ. of Washington, Seattle, WA (United States); UW
Univ. of Washington, Seattle, WA (United States)
AWS Center for Quantum Networking, Seattle, WA (United States)

The time evolution of an Ising model with large driving fields over discrete time intervals is shown to be reproduced by an effective XXZ-Heisenberg model at leading order in the inverse field strength. For specific orientations of the drive field, the dynamics of the XXX-Heisenberg model is reproduced. Finally, these approximate equivalences, valid above a critical driving field strength set by dynamical phase transitions in the Ising model, are expected to enable quantum devices that natively evolve qubits according to the Ising model to simulate more complex systems.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Washington, Seattle, WA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: SC0020970; FG02-00ER41132

OSTI ID:: 2259244

Report Number(s):: IQuS@UW-21-028

Journal Information:: Physical Review A, Journal Name: Physical Review A Journal Issue: 4 Vol. 108; ISSN 2469-9926

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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