BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Kazuki Yamamoto (Kyoto University) DTSTART:20220517T021500Z DTEND:20220517T031500Z DTSTAMP:20260423T005701Z UID:NMTP2022/6 DESCRIPTION:Title: Finite-size scaling in a non-Hermitian XXZ spin chain\nby Kazuki Yama moto (Kyoto University) as part of Numerical Methods in Theoretical Physic s\n\n\nAbstract\nIn recent years\, open quantum systems have been actively studied both experimentally and theoretically\, as exemplified by driven- dissipative systems and non-Hermitian (NH) quantum systems. In this talk\, We demonstrate the universal properties of dissipative Tomonaga-Luttinger (TL) liquids by calculating correlation functions and performing finite-s ize scaling analysis of a non-Hermitian XXZ spin chain as a prototypical m odel in one-dimensional open quantum many-body systems [1]. Our analytic c alculation is based on effective field theory with bosonization\, finite-s ize scaling approach in conformal field theory\, and the Bethe-ansatz solu tion. Our numerical analysis is based on the density-matrix renormalizatio n group generalized to non-Hermitian systems (NH-DMRG). We uncover that th e model in the massless regime with weak dissipation belongs to the univer sality class characterized by the complex-valued TL parameter\, which is r elated to the complex generalization of the c=1 conformal field theory. As the dissipation strength increases\, the values of the TL parameter obtai ned by the NH-DMRG begin to deviate from those obtained by the Bethe-ansat z analysis\, indicating that the model becomes massive for strong dissipat ion. Our results can be tested with the two-component Bose-Hubbard system of ultracold atoms subject to two-body loss.\n\n[1] Kazuki Yamamoto\, Masa ya Nakagawa\, Masaki Tezuka\, Masahito Ueda\, and Norio Kawakami\, arXiv:2 112.12467\, Phys. Rev. B in press.\n LOCATION:https://researchseminars.org/talk/NMTP2022/6/ END:VEVENT END:VCALENDAR