Twist defects and twist liquids in 2+1D topological phases
VENUE Online
DATE & TIME 8.4(Tue.) - 7(Fri.), 2020 / Everyday 9:00 AM – 10:00 AM (KST)
ZOOM LINK https://zoom.us/j/93037797587
ABSTRACT
The algebraic construction of the eigenstates of a Hamiltonian (or other conserved charges) is at the heart of quantum integrable models. Usually, this fails miserably in non-integrable models. However, recent studies on quantum many-body scar (QMBS) states have revealed a class of non-integrable models in which towers of exact eigenstates are built up by repeatedly acting with a certain “creation operator” on a simple (low-entanglement) state. Examples of such models include the Affleck-Kennedy-Lieb-Tasaki and the spin-1 XY models. The eigenstates constructed this way have low entanglement even though their energies are in the middle of spectrum, and thus violate the strong Eigenstate Thermalization Hypothesis (ETH).
In this talk, I will show that an infinite sequence of non-integrable models with QMBS can be constructed using the so-called Onsager algebra. Interestingly, this construction allows for the Hamiltonianm to be spatially inhomogeneous. I will also show that the dynamics from a special class of initial states exhibits persistent many-body revivals. If time permits, I will talk about another algebraic approach to construct a class of models with QMBS. |
INVITED SPEAKER
Name |
Affiliation |
Jeffrey Teo | University of Virginia |
ORGANIZER
Name |
Affiliation |
Gil Young Cho |
POSTECH |
WEBSITE
https://www.apctp.org/plan.php/TQM5
ZOOM Webinar
1) Please join with your email and write your full name & affiliation
- E.g. Name: Full name(affiliation)
Email: (No guest account)
2) Join with the following link
https://zoom.us/j/93037797587
SPONSOR
APCTP