Liujun Zou
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View article: Universal decay of (conditional) mutual information in gapped pure- and mixed-state quantum matter
Universal decay of (conditional) mutual information in gapped pure- and mixed-state quantum matter Open
For spin and fermionic systems in any spatial dimension, we establish that the superpolynomial decay behavior of mutual information and conditional mutual information is a universal property of gapped pure- and mixed-state phases, i.e., al…
View article: Twisted locality-preserving automorphisms, anomaly index, and generalized Lieb-Schultz-Mattis theorems with anti-unitary symmetries
Twisted locality-preserving automorphisms, anomaly index, and generalized Lieb-Schultz-Mattis theorems with anti-unitary symmetries Open
Symmetries and their anomalies are powerful tools to understand quantum matter. In this work, for quantum spin chains, we define twisted locality-preserving automorphisms and their Gross-Nesme-Vogts-Werner indices, which provide a unified …
View article: Symmetry-enforced minimal entanglement and correlation in quantum spin chains
Symmetry-enforced minimal entanglement and correlation in quantum spin chains Open
The interplay between symmetry, entanglement and correlation is an interesting and important topic in quantum many-body physics. Within the framework of matrix product states, in this paper we study the minimal entanglement and correlation…
View article: Symmetry-enforced minimal entanglement and correlation in quantum spin chains
Symmetry-enforced minimal entanglement and correlation in quantum spin chains Open
The interplay between symmetry, entanglement and correlation is an interesting and important topic in quantum many-body physics. Within the framework of matrix product states, in this paper we study the minimal entanglement and correlation…
View article: Classification of Symmetry-Enriched Topological Quantum Spin Liquids
Classification of Symmetry-Enriched Topological Quantum Spin Liquids Open
We present a systematic framework to classify symmetry-enriched topological quantum spin liquids in two spatial dimensions. This framework can deal with all topological quantum spin liquids, which may be either Abelian or non-Abelian and c…
View article: Entanglement area law and Lieb-Schultz-Mattis theorem in long-range interacting systems, and symmetry-enforced long-range entanglement
Entanglement area law and Lieb-Schultz-Mattis theorem in long-range interacting systems, and symmetry-enforced long-range entanglement Open
We establish multiple interrelated, fundamental results in quantum many-body systems that can have long-range interactions. For a sufficiently long quantum spin chain, we first show that if the multi-spin interactions in the Hamiltonian de…
View article: Symmetries and anomalies of Kitaev spin-S models: Identifying symmetry-enforced exotic quantum matter
Symmetries and anomalies of Kitaev spin-S models: Identifying symmetry-enforced exotic quantum matter Open
We analyze the internal symmetries and their anomalies in the Kitaev spin- S models. Importantly, these models have a lattice version of a \mathbb{Z}_2 1-form symmetry, denoted by \mathbb{Z}_2^{[1]} . There is also an ordinar…
View article: Entanglement-enabled symmetry-breaking orders
Entanglement-enabled symmetry-breaking orders Open
A spontaneous symmetry-breaking order is conventionally described by a tensor-product wavefunction of some few-body clusters; some standard examples include the simplest ferromagnets and valence bond solids. We discuss a type of symmetry-b…
View article: Report on scipost_202312_00042v1
Report on scipost_202312_00042v1 Open
We analyze the internal symmetries and their anomalies in the Kitaev spin-S models.Importantly, these models have a lattice version of a Z2 1-form symmetry, denoted by2 .There is also an ordinary 0-formare π spin rotations around two ortho…
View article: Report on scipost_202305_00001v2
Report on scipost_202305_00001v2 Open
A spontaneous symmetry-breaking order is conventionally described by a tensor-product wavefunction of some few-body clusters; some standard examples include the simplest ferromagnets and valence bond solids.We discuss a type of symmetry-br…
View article: Report on scipost_202312_00042v1
Report on scipost_202312_00042v1 Open
We analyze the internal symmetries and their anomalies in the Kitaev spin-S models.Importantly, these models have a lattice version of a Z2 1-form symmetry, denoted by2 .There is also an ordinary 0-formare π spin rotations around two ortho…
View article: Report on scipost_202312_00042v1
Report on scipost_202312_00042v1 Open
We analyze the internal symmetries and their anomalies in the Kitaev spin-S models.Importantly, these models have a lattice version of a Z2 1-form symmetry, denoted by2 .There is also an ordinary 0-formare π spin rotations around two ortho…
View article: Symmetries and anomalies of Kitaev spin-$S$ models: Identifying symmetry-enforced exotic quantum matter
Symmetries and anomalies of Kitaev spin-$S$ models: Identifying symmetry-enforced exotic quantum matter Open
We analyze the internal symmetries and their anomalies in the Kitaev spin-$S$ models. Importantly, these models have a lattice version of a $\mathbb{Z}_2$ 1-form symmetry, denoted by $\mathbb{Z}_2^{[1]}$. There is also an ordinary 0-form $…
View article: Classification of symmetry-enriched topological quantum spin liquids
Classification of symmetry-enriched topological quantum spin liquids Open
We present a systematic framework to classify symmetry-enriched topological quantum spin liquids in two spatial dimensions. This framework can deal with all topological quantum spin liquids, which may be either Abelian or non-Abelian, chir…
View article: Anomaly of $(2+1)$-dimensional symmetry-enriched topological order from $(3+1)$-dimensional topological quantum field theory
Anomaly of $(2+1)$-dimensional symmetry-enriched topological order from $(3+1)$-dimensional topological quantum field theory Open
Symmetry acting on a (2+1) D topological order can be anomalous in the sense that they possess an obstruction to being realized as a purely (2+1) D on-site symmetry. In this paper, we develop a (3+1) D topological quantum field theor…
View article: Report on scipost_202305_00001v1
Report on scipost_202305_00001v1 Open
A spontaneous symmetry-breaking order is conventionally described by a tensor-product wavefunction of some few-body clusters; some standard examples include the simplest ferromagnets and valence bond solids.We discuss a type of symmetry-br…
View article: Report on scipost_202305_00001v1
Report on scipost_202305_00001v1 Open
A spontaneous symmetry-breaking order is conventionally described by a tensor-product wavefunction of some few-body clusters; some standard examples include the simplest ferromagnets and valence bond solids.We discuss a type of symmetry-br…
View article: Report on scipost_202212_00004v1
Report on scipost_202212_00004v1 Open
Symmetry acting on a (2+1)D topological order can be anomalous in the sense that they possess an obstruction to being realized as a purely (2+1)D on-site symmetry.In this paper, we develop a (3+1)D topological quantum field theory to calcu…
View article: Report on scipost_202212_00004v1
Report on scipost_202212_00004v1 Open
Symmetry acting on a (2+1)D topological order can be anomalous in the sense that they possess an obstruction to being realized as a purely (2+1)D on-site symmetry.In this paper, we develop a (3+1)D topological quantum field theory to calcu…
View article: Anomaly of $(2+1)$-Dimensional Symmetry-Enriched Topological Order from $(3+1)$-Dimensional Topological Quantum Field Theory
Anomaly of $(2+1)$-Dimensional Symmetry-Enriched Topological Order from $(3+1)$-Dimensional Topological Quantum Field Theory Open
Symmetry acting on a (2+1)$D$ topological order can be anomalous in the sense that they possess an obstruction to being realized as a purely (2+1)$D$ on-site symmetry. In this paper, we develop a (3+1)$D$ topological quantum field theory t…
View article: Topological characterization of Lieb-Schultz-Mattis constraints and applications to symmetry-enriched quantum criticality
Topological characterization of Lieb-Schultz-Mattis constraints and applications to symmetry-enriched quantum criticality Open
Lieb-Schultz-Mattis (LSM) theorems provide powerful constraints on the problem, i.e. whether a quantum phase or phase transition can emerge in a many-body system. We derive the topological partition functions that characterize the LSM cons…
View article: Entanglement-enabled symmetry-breaking orders
Entanglement-enabled symmetry-breaking orders Open
A spontaneous symmetry-breaking order is conventionally described by a tensor-product wave-function of some few-body clusters. We discuss a type of symmetry-breaking orders, dubbed entanglement-enabled symmetry-breaking orders, which canno…
View article: Renormalization-group Perspective on Gravitational Critical Collapse
Renormalization-group Perspective on Gravitational Critical Collapse Open
In this work, we propose extremal black holes (BH) as critical points of a new class of gravitational collapses. The conjecture is made by observing the Continuous Self Similarity (CSS) and Discrete Self Similarity (DSS) behaviours of pert…
View article: Report on scipost_202202_00032v1
Report on scipost_202202_00032v1 Open
Lieb-Schultz-Mattis (LSM) theorems provide powerful constraints on the emergibility problem, i.e. whether a quantum phase or phase transition can emerge in a many-body system.We derive the topological partition functions that characterize …
View article: Report on scipost_202202_00032v1
Report on scipost_202202_00032v1 Open
Lieb-Schultz-Mattis (LSM) theorems provide powerful constraints on the emergibility problem, i.e. whether a quantum phase or phase transition can emerge in a many-body system.We derive the topological partition functions that characterize …
View article: Edge physics at the deconfined transition between a quantum spin Hall insulator and a superconductor
Edge physics at the deconfined transition between a quantum spin Hall insulator and a superconductor Open
We study the edge physics of the deconfined quantum phase transition (DQCP) between a spontaneous quantum spin Hall (QSH) insulator and a spin-singlet superconductor (SC). Although the bulk of this transition is in the same universality cl…
View article: Report on scipost_202202_00032v1
Report on scipost_202202_00032v1 Open
Lieb-Schultz-Mattis (LSM) theorems provide powerful constraints on the emergibility problem, i.e. whether a quantum phase or phase transition can emerge in a many-body system.We derive the topological partition functions that characterize …
View article: Report on 2110.08280v1
Report on 2110.08280v1 Open
We study the edge physics of the deconfined quantum phase transition (DQCP) between a spontaneous quantum spin Hall (QSH) insulator and a spin-singlet superconductor (SC).Although the bulk of this transition is in the same universality cla…
View article: Report on 2110.08280v1
Report on 2110.08280v1 Open
We study the edge physics of the deconfined quantum phase transition (DQCP) between a spontaneous quantum spin Hall (QSH) insulator and a spin-singlet superconductor (SC).Although the bulk of this transition is in the same universality cla…
View article: Topological characterization of Lieb-Schultz-Mattis constraints and applications to symmetry-enriched quantum criticality
Topological characterization of Lieb-Schultz-Mattis constraints and applications to symmetry-enriched quantum criticality Open
Lieb-Schultz-Mattis (LSM) theorems provide powerful constraints on the emergibility problem, i.e. whether a quantum phase or phase transition can emerge in a many-body system. We derive the topological partition functions that characterize…