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SUMMARY:Parent Lindbladians for Matrix Product Density Operators - Yuhan L
 iu
DTSTART:20250320T153000Z
DTEND:20250320T163000Z
UID:TALK229594@talks.cam.ac.uk
CONTACT:Laurens Lootens
DESCRIPTION:Understanding quantum phases of matter is a fundamental goal i
 n physics. For pure states\, the representatives of phases are the ground 
 states of locally interacting Hamiltonians\, which are also renormalizatio
 n fixed points (RFPs). These RFP states are exactly described by tensor ne
 tworks. Extending this framework to mixed states\, matrix product density 
 operators (MPDOs) which are RFPs are believed to encapsulate mixed-state p
 hases of matter in one dimension. However\, it remains an open question wh
 ether\, by analogy\, such MPDO RFPs can be realized as steady states of lo
 cal Lindbladians. In this work\, we resolve this question by analytically 
 constructing parent Lindbladians for MPDO RFPs. These Lindbladians are loc
 al\, frustration-free\, and exhibit minimal steady-state degeneracy. Inter
 estingly\, we find that parent Lindbladians possess a rich structure\, inc
 luding non-commutativity for certain classes of RFPs\, distinguishing them
  from their Hamiltonian counterparts.
LOCATION:MR2
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