Bulletin of the American Physical Society
APS March Meeting 2023
Las Vegas, Nevada (March 510)
Virtual (March 2022); Time Zone: Pacific Time
Session Y24: Symmetry Resolved Entanglement in Strongly Correlated SystemsInvited

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Sponsoring Units: DCMP Chair: Adrian Del Maestro, University of Tennessee Room: Room 237 
Friday, March 10, 2023 8:00AM  8:36AM 
Y24.00001: Symmetry Resolved Entanglement in Interacting Models Invited Speaker: Hatem N Barghathi Over the last two decades, entanglement measures have been employed in probing quantum phases of matter and quantum phase transitions, in addition to being undisputably detected experimentally and efficiently calculated using quantum stochastic methods. More recently, there has been an accelerated interest in utilizing the presence of conservation laws to gain a deeper understanding of the entanglement structure in different quantum scenarios. In the presence of conservation laws in a quantum state, such as the conservation of the total charge Q, the resulting entanglement spectrum obtained from a modebipartite reduced density matrix can be resolved based on the local charge q and thus identify the contribution from each charge q sector to the total entanglement. From the point of view of quantum information, a quantum state of conserved charge Q contains less accessible entanglement as the unaccessible contribution to the entanglement is due to the fluctuations of the local charge q, and thus preparing a state with a large amount of accessible entanglement is an obvious goal. Motivated by this vigorous interplay between condensed matter and quantum information, we investigate the symmetryresolved entanglement in bosonic and fermionic lattice models, namely the BoseHubbard model and spinless lattice fermions. We show that accessible entanglement peaks around continuous phase transitions singling a distinct scaling, suggesting that quantum states near quantum phase transitions are more resourceful in terms of quantum information. We also extend our investigation to include particlebipartite symmetryresolved entanglement in a translationally invariant system, where the entanglement resolution is due to the conservation of the total quasimomentum of the lattice model. We show that the resulting symmetryresolved particle entanglement entropy demonstrates a comparable behavior across phase transitions. 
Friday, March 10, 2023 8:36AM  9:12AM 
Y24.00002: Symmetryresolved Entanglement in Topological Insulators and Manybody Localized Phases Invited Speaker: Jesko Sirker In a manybody system, entanglement is typically only partially extractable and transferable to a quantum register. The fundamental idea is that in order to extract it, a measurement of the local particle numner is required. Thus, the total entanglement S can be broken down into two symmetryresolved components: the configurational (extractable) entropy S_{C}_{ }and number (easily measurable) entropy S_{N}. In the first part of my talk, I will show that in a C_{2}symmetric topological systems, lower bounds for both quantities in terms of a topological invariant can be proven. 
Friday, March 10, 2023 9:12AM  9:48AM 
Y24.00003: A probe of symmetry breaking from entanglement Invited Speaker: Sara Murciano Symmetries and entanglement are two of the pillars of modern quantum physics. Recently there has been a huge research activity on the interplay between these two notions. So far, it has been focused on studying entanglement in the charge sectors of a system with internal symmetries. Still, one can wonder whether entanglement can be used also to quantify how much a symmetry is broken in a system, an issue that has received little attention until now. 
Friday, March 10, 2023 9:48AM  10:24AM 
Y24.00004: Symmetry Resolved Entanglement in Integrable Quantum Field Theory Invited Speaker: Olalla CastroAlvaredo In this talk I will review some recent results relating to a measure of entanglement known as symmetry resolved entropy (SRE). This is a measure that can be defined for theories that possess an internal symmetry and which quantifies the amount of entanglement that is contributed by each symmetry sector. In the context of integrable quantum field theory, the SRE can be computed using correlation functions of composite twist fields, extending the standard programme for entanglement measures. In my talk I will give a summary of some results I have contributed to in this direction, which deal with different models and/or states 
Friday, March 10, 2023 10:24AM  11:00AM 
Y24.00005: Equipartition of Entanglement in Quantum Hall States Invited Speaker: Nicolas Regnault Quantum Hall effects provide an ideal playground to test the equipartition of entanglement for twodimensional noninteracting and interacting gapped systems. We will discuss the full counting statistics (FCS) and symmetryresolved entanglement entropies of integer and fractional quantum Hall states. For the filled lowest Landau level of spinpolarized electrons on an infinite cylinder, we will show that FCS is Gaussian and entanglement spreads evenly among different charge sectors. Moreover, finite size corrections can be derived. Moving to the interacting Laughlin state, the entanglement spectroscopy can be carried out assuming the LiHaldane conjecture. The results confirm equipartition up to small chargedependent terms, and are then matched with numerical computations based on exact matrix product states. 
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