This is part of a seminar series for students and researchers interested in theoretical physics and applied mathematics. Listen to Santiago Caballero from UNAM in Mexico city during the seminar "Light-Matter DMRG".
Quantum many body phases in the strongly correlated regimen can be studied by means of ultracold gases inside an optical lattice, where the lattice structure is dictated by the external trapping potential[1]. By placing the atomic gas inside a high finesse optical cavity, strong coupling between matter and the quantized cavity field modes is achieved. As the atoms scatter light collectively to the cavity, the lattice potential is modified and self consistent light matter states can be formed, allowing the emergence of dynamical lattice potentials[2–9]. We show results of our newly developed Light-Matter DMRG method [9] to simulate realistic experimental settings. This work is partially supported by the grants DGAPA-PAPIIT:IN118823, as well as by grants from NVIDIA and utilized NVIDIA RTX 6000 Ada.
[1] M. Lewenstein, A. Sanpera, V. Ahufinger, Ultracold Atoms in Optical Lattices: Simulating quantum many-body systems (Oxford University Press, 2012)
[2] H. Ritsch, P. Domokos, F. Brennecke, and T. Esslinger, Rev. Mod. Phys. 85, 553 (2013)
[3] F. Mivehvar, F. Piazza, T. Donner, and H. Ritsch, Advances in Physics 70, 1 (2021)
[4] S. F. Caballero-Benitez, G. Mazzucchi, and I. B. Mekhov, Phys. Rev. A 93, 063632 (2016)
[5] S. F. Caballero-Benitez and I. B. Mekhov, Phys. Rev. Lett. 115, 243604 (2015)
[6] K. Lozano-Méndez, A. H. Cásares, and S. F. Caballero-Benítez, Phys. Rev. Lett. 128, 080601 (2022)
[7] X. Li, D. Dreon, P. Zupancic, A. Baumgärtner, A. Morales, W. Zheng, N. R. Cooper, T. Donner, and T. Esslinger, Phys. Rev. Res. 3, L012024 (2021)
[8]G. Natale, A. Baumgärtner, J. Stefaniak, D. Baur, S. Hertlein, D. Rivero, T. Esslinger, and T. Donnera, rXiv:2504.17731 (2025)
[9] A. U. Ramírez-Barajas and S. F. Caballero-Benitez, Phys. Rev. Lett. 135, 120602 (2025)
Participate on campus or via Zoom.
On campus: PJ Lecture Hall
Zoom link: https://gu-se.zoom.us/j/64681043702