Department of Mathematics

Mathematical Physics and Gauge Theory

  •  A solvable family of driven-dissipative many-body systems
  •  04/06/2017
  •  11:00 AM - 11:50 AM
  •  C304 Wells Hall
  •  Mohammad Maghrebi, MSU

Exactly solvable models have played an important role in establishing the sophisticated modern understanding of equilibrium many-body physics. And conversely, the relative scarcity of solutions for non-equilibrium models greatly limits our understanding of systems away from thermal equilibrium. We study a family of nonequilibrium models, described by Lindbladian dynamics, where dissipative processes drive the system toward states that do not commute with the Hamiltonian. Surprisingly, a broad subset of these models can be solved efficiently in any number of spatial dimensions. We leverage these solutions to prove a no-go theorem on steady-state phase transitions in many-body models.



Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

College of Natural Science