Quantum dynamics in dissipative ultracold atomic gases

• Applicant: Professorin Dr. Corinna Kollath
• Subject Area: Optics, Quantum Optics and Physics of Atoms, Molecules and Plasmas ; Theoretical Condensed Matter Physics
• Term: from 2015 to 2024
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 276963779

• Final Report Year: 2024

Final Report Abstract

Over decades dissipation in quantum systems has been considered as nuisance which destroys coherence and therefore many interesting quantum effects. Only more recently, the control of quantum systems by engineered dissipation has been brought forward and is nowadays considered as an exciting and very active field of research. In this project we advanced considerably the understanding of quantum many body systems which are coupled to an environment. In the first objective we explored the effect of different dissipative coupling and found intruiging effects as for example the melting of the universal Tomonaga Luttinger liquid behaviour or the stabilization of complex phases as vortex phases or Meissner phases or eve a biased ladder superfluid which is an unexpected phase which breaks the Z2 symmetry of the ladder. A general message that we learned is that the dynamics of the correlations in the dissipative system depend crucially on the nature of the correations. Beside the possible steady states, the dynamics under the influence of dissipation is of utmost importance to prepare systems in a required quantum state. Therefore, in the second objective we investigated the dynamics of dissipative systems after a quench, a sudden change of the parameters. We find that for local dissipation the correlation cannot evolve faster than a light cone. The light cone behaviour persist for some time and then the correlations become damped or can increase depending on their nature. By a coupling to a more involved environment we find that symmetries can self-organize and that by this, the coherences in the system can be shaped to an almost arbitrary form depending on the couplings. This opens the door to exploit and stablize sought-after quantum operations by the influence of an environment.

Publications

• Cavity-induced artificial gauge field in a Bose-Hubbard ladder. Physical Review A, 96(6).
  Halati, Catalin-Mihai; Sheikhan, Ameneh & Kollath, Corinna
  
• Accessing finite-momentum excitations of the one-dimensional Bose-Hubbard model using superlattice-modulation spectroscopy. Physical Review A, 98(3).
  Loida, Karla; Bernier, Jean-Sébastien; Citro, Roberta; Orignac, Edmond & Kollath, Corinna
  
• Light-Cone and Diffusive Propagation of Correlations in a Many-Body Dissipative System. Physical Review Letters, 120(2).
  Bernier, Jean-Sébastien; Tan, Ryan; Bonnes, Lars; Guo, Chu; Poletti, Dario & Kollath, Corinna
  
• Melting of the critical behavior of a Tomonaga-Luttinger liquid under dephasing. Physical Review B, 102(11).
  Bernier, Jean-Sébastien; Tan, Ryan; Guo, Chu; Kollath, Corinna & Poletti, Dario
  
• Radio-frequency driving of an attractive Fermi gas in a one-dimensional optical lattice. Physical Review A, 105(2).
  Kombe, Johannes; Köhl, Michael; Kollath, Corinna & Bernier, Jean-Sébastien
  
• Controlling the Dynamics of Atomic Correlations via the Coupling to a Dissipative Cavity. Physical Review Letters, 134(7).
  Halati, Catalin-Mihai; Sheikhan, Ameneh; Morigi, Giovanna & Kollath, Corinna