Format results
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Locality Preserving Unitaries Beyond QCA
Carolyn Zhang - Harvard University
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Superconductivity, with Anyons
Hart Goldman - University of Minnesota
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Fractional Quantum Hall states Under Decoherence
Zijian Wang - Tsinghua University
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The Charge Gap exceeds the Neutral Gap in Fractional Quantum Hall Systems
Bruno Nachtergaele - University of California, Davis
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Cooling algorithms for quantum many-body state preparation
Jerome Lloyd
Preparation of thermal and ground states of many-body systems is a central challenge for quantum processors, needed e.g. as the starting point for many quantum physics experiments or for quantum chemistry applications. In this talk, I will discuss recent work on efficient state preparation using… -
Many-body localization in quasiperiodic systems
Yi-Ting Tu
Although many-body localization (MBL) is most widely studied for systems with random potentials, various interesting phenomena occur naturally in quasiperiodic potentials. In particular, there is the lack of low-disorder rare regions which may destabilize MBL, the existence of a regime which is non… -
Locality Preserving Unitaries Beyond QCA
Carolyn Zhang - Harvard University
We study a locality preserving unitary (LPU) in three spatial dimensions that “pumps” a Chern insulator to the physical boundary. In the single-particle setting, the LPU cannot be generated by any local Hamiltonian. However, it is not a quantum cellular automaton (QCA) because it transforms strictly… -
Probing Conformal Boundary/Defect and Spin Liquid through “Snapshots”
Cenke Xu
Snapshots are the standard data produced in many quantum simulators. In this talk we demonstrate that they encode far more information than conventional correlation functions. I’ll show how snapshot data can probe conformal boundaries and defects in quantum many-body systems. In particular, from… -
Instanton and Chern-Simons in Lattice Yang-Mills Theory from Higher Category Theory
Jing-Yuan Chen - Tsinghua IAS
Putting continuum QFT (not just TQFT) onto the lattice is important for both fundamental understandings and numerical practices. The traditional way to do so, based on simple intuitions, however, does not admit natural definitions for general topological configurations of continuous-valued fields--… -
Superconductivity, with Anyons
Hart Goldman - University of Minnesota
I will discuss the phenomenology of superconductors hosting both order parameter vortices and fractionally charged anyon excitations. I will demonstrate that in such systems superconductivity and topological order are intertwined under applied magnetic fields, leading to surprising observable… -
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Bound on the dynamical exponent of frustration-free Hamiltonians and Markov processes
Tomohiro Soejima - Harvard University
Exactly solvable models have tremendously helped our understanding of condensed matter systems. A notable number of them are "frustration-free" in the sense that all local terms of the Hamiltonian can be minimized simultaneously. It has been particularly successful at describing the physics of… -
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Fractional Quantum Hall states Under Decoherence
Zijian Wang - Tsinghua University
In this talk, I will introduce our recent studies on the effect of decoherence on fractional quantum Hall fluids and their robustness as topological quantum memories. Specifically, we examine the behavior of Laughlin states and Moore-Read states under dephasing noise using the plasma analogy as well… -
Nonabelian Anyon Condensation in 2+1d topological orders: A String-Net Model Realization
Yidun Wan - Fudan University
In this talk, we develop a comprehensive framework for realizing anyon condensation of topological orders within the string-net model by constructing a Hamiltonian that bridges the parent string-net model before and the child string-net model after anyon condensation. Our approach classifies all… -
The Charge Gap exceeds the Neutral Gap in Fractional Quantum Hall Systems
Bruno Nachtergaele - University of California, Davis
The so-called pseudo-potentials modeling fractional quantum Hall systems are quantum many-body Hamiltonians that are frustration free and have two symmetries, one related to the conservation of charge (particle number) and another to the conservation of dipole moment (angular momentum), in addition…