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Pre 2025 TPS miniworkshop

13 January 2025
NTHU
Asia/Taipei timezone

Contribution List

6 out of 6 displayed
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  1. 1. Quantum Spin Nematics in Spin-1/2 Frustrated Ferromagnets: A Highly-Entangled State of Matter
    Dr Matthias Gohlke (OIST)
    13/01/2025, 09:40

    In the absence of conventional magnetic order of spin-dipolar moments, ordering with higher-order moments like spin-quadrupoles may occur. Magnets with spin-1/2 degrees of freedom, however, can only exhibit spin-quadrupoles---or quantum spin-nematic (QSN) states---if two spin-1/2 are combined into an effective spin-1. Such a QSN state generically features a large degree of entanglement with a...

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  2. 2. xfac/TCI.jl: Libraries for tensor cross interpolation
    Prof. Hiroshi Shinaoka (Saitama University)
    13/01/2025, 10:30

    The tensor cross interpolation (TCI) algorithm is a rank-revealing algorithm for decomposing low-rank, high-dimensional tensors into tensor trains/matrix product states (MPS).TCI learns a compact MPS representation of the entire object from a tiny training data set. We will introduce a new open-source implementation of TCI: xfac/TCI.jl [1]. We will briefly introduce improved TCI algorithms and...

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  3. 3. SO(5)-symmetric deconfined quantum critical point in the extended JQ-model
    Prof. Jun Takahashi (University of Tokyo)
    13/01/2025, 11:20

    Since its original proposal [1], the existence and microscopic realization of deconfined quantum critical (DQC) points with lattice models has been under extensive debate. Field-theoretic arguments for DQC provide a plausible scenario where the quantum phase transition between a Neel phase and a valence-bond solid phase -- two most basic phases of matter in quantum magnetism -- will...

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  4. 8. Entanglement diagnosis of many-body systems: applications to non-unitary conformal field theory and topological quantum field theories
    Prof. Po-Yao Chang (National Tsing Hua University)
    13/01/2025, 13:20

    Entanglement measures provide powerful tools for diagnosing quantum many-body phases of matter. In particular, in (1+1)-dimensional systems with conformal symmetry, entanglement entropy exhibits logarithmic scaling, where the coefficient determines the central charge of the underlying conformal field theory (CFT). However, in the absence of the unitary condition, the central charge can be...

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  5. 9. Constructing a Matrix Product Operator for the time evolution operator
    Prof. Ian McCulloch (National Tsing Hua University)
    13/01/2025, 14:10

    Simulating the real or imaginary time evolution of a quantum state using tensor networks requires constructing a representation of the time evolution operator, which can only be done approximately (except in some trivial cases). As an alternative to the common Trotter-Suzuki decomposition, we construct directly a Matrix Product Operator representation of the exponential function[1], which has...

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  6. 10. Interference-caged quantum many-body scars: the Fock space topological localization and interference zeros
    Mr Tao-Lin Tan (National Tsing Hua University)
    13/01/2025, 16:00

    The presence of athermal high-energy eigenstates in quantum many-body systems, known as quantum many-body scars, challenges the Eigenstate Thermalization Hypothesis. This article introduces a formulation of quantum many-body scars (QMBS) by interpreting the many-body Hilbert space as a Fock space graph, with a focus on closed quantum systems with weak ergodicity breaking. In this framework,...

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