BEGIN:VCALENDAR VERSION:2.0 PRODID:-//linuxsoftware.nz//NONSGML Joyous v1.4//EN BEGIN:VEVENT SUMMARY:Emergent Topology in Many-Body Dissipative Quantum Matter DTSTART:20241116T100000Z DTEND:20241116T120000Z DTSTAMP:20260904T182336Z UID:5f81882b-adbe-4ec7-8129-4c0cceb7858f SEQUENCE:2 CREATED:20241112T103211Z DESCRIPTION:The identification\, description\, and classification of topol ogical features is an engine of discovery and innovation in several fields of physics. This research encompasses a broad variety of systems\, from t he integer and fractional Chern insulators in condensed matter\, to protec ted states in complex photonic lattices in optics\, and the structure of t he QCD vacuum. Here\, we introduce another playground for topology: the di ssipative dynamics of pseudo-Hermitian many-body quantum systems. For that purpose\, we study two different systems\, the dissipative Sachdev-Ye-Kit aev (SYK) model\, and a quantum chaotic dephasing spin chain. For the two different many-body models\, we find the same topological features for a w ide range of parameters suggesting that they are universal. In the SYK mod el\, we identify four universality classes\, related to pseudo-Hermiticity \, characterized by a rectangular block representation of the vectorized L iouvillian that is directly related to the existence of an anomalous trace of the unitary operator implementing fermionic exchange. As a consequence of this rectangularization\, we identify a topological index $\\nu$ that only depends on symmetry. Another distinct consequence of the rectangulari zation is the observation\, for any coupling to the bath\, of purely real topological modes in the Liouvillian. The level statistics of these real m odes agree with that of the corresponding random matrix ensemble and there fore can be employed to characterize the four topological symmetry classes . In the limit of weak coupling to the bath\, topological modes govern the approach to equilibrium\, which may enable a direct path for experimental confirmation of topology in dissipative many-body quantum chaotic systems . *A. M. García-García\, L. Sá\, J. J. M. Verbaarschot\, and C. Yin\, a rXiv:2311.14640 (2023) LAST-MODIFIED:20241112T103243Z LOCATION:Sala de Formação Avançada do DF (Sala 2-8.11 - 2º Piso do Pav ilhão de Física) URL:http://df.vps.tecnico.ulisboa.pt/pt/eventos/emergent-topology-in-many- body-dissipative-quantum-matter/ X-ALT-DESC;FMTTYPE=text/html:

The identification\ , description\, and classification of topological features is an engine of discovery and innovation in several fields of physics. This research enco mpasses a broad variety of systems\, from the integer and fractional Chern insulators in condensed matter\, to protected states in complex photonic lattices in optics\, and the structure of the QCD vacuum.

Here\, we introduce another playground for topology: the dissipative dynamics of pseudo-Hermitian many-body quantum systems. For that purpose\, we study t wo different systems\, the dissipative Sachdev-Ye-Kitaev (SYK) model\, and a quantum chaotic dephasing spin chain.

For the two different m any-body models\, we find the same topological features for a wide range o f parameters suggesting that they are universal. In the SYK model\, we ide ntify four universality classes\, related to pseudo-Hermiticity\, characte rized by a rectangular block representation of the vectorized Liouvillian that is directly related to the existence of an anomalous trace of the uni tary operator implementing fermionic exchange. As a consequence of this re ctangularization\, we identify a topological index $\\nu$ that only depend s on symmetry.

Another distinct consequence of the rectangulariz ation is the observation\, for any coupling to the bath\, of purely real t opological modes in the Liouvillian. The level statistics of these real mo des agree with that of the corresponding random matrix ensemble and theref ore can be employed to characterize the four topological symmetry classes. In the limit of weak coupling to the bath\, topological modes govern the approach to equilibrium\, which may enable a direct path for experimental confirmation of topology in dissipative many-body quantum chaotic systems. *A. M. García-García\, L. Sá\, J. J. M. Verbaarschot\, and C. Yin\, ar Xiv:2311.14640 (2023)

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