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    Control of dynamical phase transitions and nonergodic relaxation via spinor phases

    J. O. Austin-Harris1, P. Sigdel1, C. Binegar1, S. E. Begg1,2, T. Bilitewski1,*, and Y. Liu1,†

    • *Contact author: thomas.bilitewski@okstate.edu
    • †Contact author: yingmei.liu@okstate.edu

    Phys. Rev. A 113, 063302 – Published 1 June, 2026

    DOI: https://doi.org/10.1103/1848-m1n6

    Abstract

    Utilizing ultracold spinor gases as large-scale, many-body quantum simulation platforms, we establish a toolbox for the precise control, characterization, and detection of nonequilibrium dynamics via internal spinor phases. We develop a method to extract the phase evolution from the observed spin population dynamics, allowing us to define an order parameter that sharply identifies dynamical phase transitions over a wide range of conditions. This work also demonstrates a technique for inferring spin-dependent interactions from a single experimental time trace, in contrast to the standard approach that requires mapping a cross section of the phase diagram, with immediate applications to systems experiencing complex time-dependent interactions. Additionally, we demonstrate experimental access to and control over nonergodic relaxation dynamics, where states of similar energy in the (nominally) thermal region of the energy spectrum retain a dependence on the initial state, via the manipulation of spinor phases, enabling the study of nonergodic thermalization dynamics connected to quantum scarring.

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