BEGIN:VCALENDAR VERSION:2.0 PRODID:Icfo X-PUBLISHED-TTL:P1W BEGIN:VEVENT UID:69e518b18e2cc DTSTART:20221130T140000Z SEQUENCE:0 TRANSP:OPAQUE LOCATION:Seminar Room SUMMARY:ICFO | SOUMIK BANDYOPADYHAY CLASS:PUBLIC DESCRIPTION:The Sachdev-Ye-Kitaev (SYK) model [1\,2\,3] describes a strongl y-correlated quantum many-body system with all-to-all disordered interacti ons. From the condensed-matter perspective\, it provides a phenomenologica l description of strange metals which exhibit non-Fermi liquid behaviors [ 4]. On the other hand\, the model is found to exhibit maximal quantum chao s by saturating the Maldacena-Shenker-Stanford bound for the quantum Lyapu nov exponent of out-of-time-order-correlators [5]. The SYK model is also o f great interest from a cosmological point-of-view as it manifests the cha racteristics of a quantum theory which is holographically dual to black ho les with two-dimensional anti-de Sitter horizons [1].\nMotivated by these rich features\, we present a proposal [6] for the analog quantum simulatio n of the SYK model in a table-top cavity QED experiment consisting of a cl oud of fermionic atoms interacting with the eigenmodes of an optical cavit y [7]. We theoretically show how effective dynamics arise in this many-bod y system which are of the SYK $q=4$ form\, i.e.\, all-to-all two-body inte ractions with randomly distributed amplitudes. We compare and contrast the spectral properties of the effective Hamiltonian to those of the theoreti cal SYK model.\nFurther\, we present a numeric study of universal dynamics (initial state independence) of equal-time correlators after global quenc hes into the SYK model [8\,9]. Through large parts of the evolution\, thes e universal dynamics are well approximated by a Gaussian decay\, which we show to be described well by an effective master equation for the disorder -averaged SYK dynamics.\nOur work provides a stepping-stone for the realis ation of the SYK model\, thereby making the complex dynamics of this stron gly correlated system accessible in the laboratory. Not only does this pro vide the enticing prospect of studying the many unique properties of this model\, but also of other strongly correlated variations along the way.\n& nbsp\;\n[1] S. Sachdev\, &ldquo\;Bekenstein&ndash\;Hawking Entropy and Str ange Metals\,&rdquo\; Phys. Rev. X \;5\, 041025 (2015).\n[2] A. Kitaev \, &ldquo\;A simple model of quantum holography\,&rdquo\; Talks given at & ldquo\;Entanglement in Strongly-Correlated Quantum Matter\,&rdquo\; (Part 1\, Part 2)\, KITP (2015).\n[3] J. Maldacena and D. Stanford\, &ldquo\;Rem arks on the Sachdev-Ye-Kitaev model\,&rdquo\; Phys. Rev. D \;94\, 1060 02 (2016).\n[4] D. Chowdhury\, A. Georges\, O. Parcollet and S. Sachdev\, &ldquo\;Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liqui ds\,&rdquo\; \; Rev. Mod. Phys. \;94\, 035004 (2022).\n[5] J. Mald acena\, S. H. Shenker\, and D. Stanford\, &ldquo\;A bound on chaos\,&rdquo \; J. High Energ. Phys. 2016\, 106 (2016).\n[6] Uhrich et al. (in preparat ion)\n[7] N. Sauerwein\, F. Orsi\, P. Uhrich\, S. Bandyopadhyay\, F. Matti otti\, T. Cantat-Moltrecht\, G. Pupillo\, P. Hauke\, J.-P. Brantut\, \ ; \"Engineering random spin models with atoms in a high-finesse cavity\,\"  \; arXiv:2208.09421 (2022).\n[8] \;S. Bandyopadhyay\, P. Uhrich\, A. Paviglianiti\, and P. Hauke\, &ldquo\;Universal equilibration dynamics of the Sachdev-Ye-Kitaev model\,&rdquo\; arXiv:2108.01718 (2021).\n[9]&nb sp\; \;A. Paviglianiti\, S. Bandyopadhyay\, P. Uhrich\, P. Hauke\, \"A bsence of Operator Growth in the Sachdev-Ye-Kitaev Model for Average Equal -Time Observables\,\" arXiv:2210.02427 (2022). DTSTAMP:20260419T180225Z END:VEVENT END:VCALENDAR