Dynamical theory for one-dimensional fermions with strong two-body losses: Universal non-Hermitian Zeno physics and spin-charge separation

Year: 2023

Authors: Rosso L.; Biella A.; De Nardis J.; Mazza L.

Autors Affiliation: University Paris-Saclay, Centre National de la Recherche Scientifique, LPTMS, 91405 Orsay, France; Pitaevskii BEC Center, CNR-INO and Dipartimento di Fisica, Universita di Trento, I-38123 Trento, Italy; Laboratoire de Physique Thyorique et Modylisation, Centre National de la Recherche Scientifique UMR 8089, CY Cergy Paris University, 95302 Cergy-Pontoise Cedex, France

Abstract: We study an interacting one-dimensional gas of spin-1/2 fermions with two-body losses. The dynamical phase diagram that characterizes the approach to the stationary state displays a wide quantum Zeno region, identified by a peculiar behavior of the lowest eigenvalues of the associated non-Hermitian Hamiltonian. We characterize the universal dynamics of this Zeno regime using an approximation scheme based on an effective decoupling of charge and spin degrees of freedom, where the latter effectively evolve according to a non-Hermitian Heisenberg Hamiltonian. We present detailed results for the time evolution from initial states with one particle per site with either incoherent or antiferromagnetic spin order, showing how peculiar charge properties witnessed by the momentum distribution function build up in time.


Volume: 107 (1)      Pages from: 013303-1  to: 013303-12

More Information: We are grateful to M. Zvonarev for sharing with us his work on the spin-charge separation in the one-dimensional Hubbard model. Uncountable discussions with K. Sponselee on the experimental setup are also gratefully acknowledged. We thank F. Essler for useful discussions on the Hubbard model. This work has been partially funded by LabEx PALM (Grant No. ANR-10-LABX-0039-PALM) and European Re-search Council Starting Grant No. 101042293 (HEPIQ) .
DOI: 10.1103/PhysRevA.107.013303