Nonequilibrium metastability and trajectory-space transitions in nonlinear quantum oscillators with reservoir memory

Reem Altuijri and Abdel-Haleem Abdel-Aty

Chaos, Solitons & Fractals, 2026, vol. 210, issue P2

Abstract: Structured reservoirs turn environmental memory into a genuine control parameter for driven nonlinear quantum oscillators. Using a reaction-coordinate (pseudomode) embedding, we obtain a completely positive Markovian master equation on an enlarged Hilbert space and combine it with Liouvillian spectral analysis, reduced phase-space diagnostics, and trajectory large-deviation theory. Across the memory-drive plane, memory sculpts a localized slow-mode wedge where the Liouvillian gap is strongly suppressed, photon-number statistics become mixture-like, intensity correlations are strongly enhanced, and Kerr-generated phase-space interference is stabilized, producing a window of Wigner negativity. Explicit cutoff-convergence checks confirm that the small-gap feature survives increasing Kerr and reaction-coordinate Fock cutoffs, while a Kerr–RC correlation analysis based on logarithmic negativity and mutual information shows that the nonclassical Wigner window is accompanied by enhanced system-memory quantum correlations. Monitoring the reaction-coordinate emission reveals that the same region is mirrored in trajectory space by a sharp susceptibility enhancement of the activity in the s-ensemble, consistent with finite-size coexistence between active and inactive histories. Finally, within the reaction-coordinate thermodynamic bookkeeping, we show how memory reorganizes the dissipation-fluctuation tradeoff for the monitored current through a channel-resolved TUR-like diagnostic. The transition language used throughout is finite-size and operational: the results identify sharp metastable crossovers and dynamical-transition precursors rather than proving an asymptotic nonanalytic phase transition. Together, the analysis gives a unified and experimentally accessible map linking memory, metastability, nonclassicality, and finite-size trajectory-space crossovers in nonlinear oscillator architectures.

Keywords: Nonequilibrium steady states; Kerr nonlinearity; Structured reservoirs and non-Markovian memory; Liouvillian spectral gap and metastability; Large-deviation theory; Finite-size dynamical transition-like crossovers (search for similar items in EconPapers)
Date: 2026
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077926007897
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:210:y:2026:i:p2:s0960077926007897

DOI: 10.1016/j.chaos.2026.118648

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().