Date Oct 22, 2019, 4:30 pm – 4:30 pm Location Jadwin A06 Share on X Share on Facebook Share on LinkedIn Speaker Michael Aizenman Affiliation Princeton University Details Event Description PLEASE NOTE THIS TALK FROM 10/8 HAS BEEN RESCHEDLED TO 10/22/2019 -- THANK YOU! Unlike their classical counterparts, quantum antiferromagnetic systems exhibit ground state frustration effects even in one dimension. A case in point is the SU(2S+1) invariant spin chain, with the interaction between pairs of neighboring S-spins given by a one dimensional projection on the pair’s total spin zero state . We show that in the infinite volume limit for any S>1/2 the system has a pair of distinct ground states, each gapped and exhibiting spatial energy oscillations. The analysis utilizes a stochastic geometric representation of the system’s thermal states, which allows to apply to this quantum system methods which were originally developed in the context of the classical Q-state Potts model. (Talk based on a joint work with Hugo Dumnil-Copin.)
