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Main Authors: Pavan, Fabrizio, Di Bello, Grazia, De Filippis, Giulio, Perroni, Carmine Antonio
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2512.09520
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author Pavan, Fabrizio
Di Bello, Grazia
De Filippis, Giulio
Perroni, Carmine Antonio
author_facet Pavan, Fabrizio
Di Bello, Grazia
De Filippis, Giulio
Perroni, Carmine Antonio
contents Witnessing and tracking topological phase transitions induced by interactions with the environment is a crucial challenge. Among the various experimental approaches to detect topological properties, the Mean Chiral Displacement (MCD) has emerged as a powerful bulk probe in one-dimensional chiral systems, allowing the extraction of the topological invariant from single-particle dynamics. Here we study the dynamics of a single particle in a one-dimensional Su-Schrieffer-Heeger chain coupled to multiple cavity modes via inter-cell hopping terms, focusing on the out-of-equilibrium behavior of the MCD. We show that, whenever the frequency is larger than the static hopping amplitudes, the coupling induces a discontinuous jump in the MCD, already at small times, signaling that such a coupling also leaves a signature in the survival edge probability when the dynamics are initialized at one of the two edges. For frequencies comparable to the static hopping amplitudes, topological order competes with dissipative effects, which makes the MCD behave smoothly, retaining information about the driven-dissipative topology.
format Preprint
id arxiv_https___arxiv_org_abs_2512_09520
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Single particle dynamical signature of topology induced by single mode cavities in Su-Schrieffer-Heeger chain
Pavan, Fabrizio
Di Bello, Grazia
De Filippis, Giulio
Perroni, Carmine Antonio
Statistical Mechanics
Quantum Physics
Witnessing and tracking topological phase transitions induced by interactions with the environment is a crucial challenge. Among the various experimental approaches to detect topological properties, the Mean Chiral Displacement (MCD) has emerged as a powerful bulk probe in one-dimensional chiral systems, allowing the extraction of the topological invariant from single-particle dynamics. Here we study the dynamics of a single particle in a one-dimensional Su-Schrieffer-Heeger chain coupled to multiple cavity modes via inter-cell hopping terms, focusing on the out-of-equilibrium behavior of the MCD. We show that, whenever the frequency is larger than the static hopping amplitudes, the coupling induces a discontinuous jump in the MCD, already at small times, signaling that such a coupling also leaves a signature in the survival edge probability when the dynamics are initialized at one of the two edges. For frequencies comparable to the static hopping amplitudes, topological order competes with dissipative effects, which makes the MCD behave smoothly, retaining information about the driven-dissipative topology.
title Single particle dynamical signature of topology induced by single mode cavities in Su-Schrieffer-Heeger chain
topic Statistical Mechanics
Quantum Physics
url https://arxiv.org/abs/2512.09520