Matrix product states and projected entangled pair states: Concepts, symmetries, theorems
The theory of entanglement provides a fundamentally new language for describing
interactions and correlations in many-body systems. Its vocabulary consists of qubits and …
interactions and correlations in many-body systems. Its vocabulary consists of qubits and …
Condensed matter theory of dipolar quantum gases
The realization of Bose Einstein condensates (BEC) and quantum degenerate Fermi gases
with cold atoms has been a highlight of quantum physics during the past decade. Cold …
with cold atoms has been a highlight of quantum physics during the past decade. Cold …
Cluster state as a noninvertible symmetry-protected topological phase
S Seifnashri, SH Shao - Physical Review Letters, 2024 - APS
We show that the standard 1+ 1 DZ 2× Z 2 cluster model has a noninvertible global
symmetry, described by the fusion category Rep (D 8). Therefore, the cluster state is not only …
symmetry, described by the fusion category Rep (D 8). Therefore, the cluster state is not only …
Observation of a symmetry-protected topological phase of interacting bosons with Rydberg atoms
The concept of topological phases is a powerful framework for characterizing ground states
of quantum many-body systems that goes beyond the paradigm of symmetry breaking …
of quantum many-body systems that goes beyond the paradigm of symmetry breaking …
Mixed-state long-range order and criticality from measurement and feedback
We propose a general framework for using local measurements, local unitaries, and
nonlocal classical communication to construct quantum channels, which can efficiently …
nonlocal classical communication to construct quantum channels, which can efficiently …
Subsystem non-invertible symmetry operators and defects
We explore non-invertible symmetries in two-dimensional lattice models with subsystem
$\mathbb Z_2 $ symmetry. We introduce a subsystem $\mathbb Z_2 $-gauging procedure …
$\mathbb Z_2 $ symmetry. We introduce a subsystem $\mathbb Z_2 $-gauging procedure …
Non-invertible and higher-form symmetries in 2+ 1d lattice gauge theories
We explore exact generalized symmetries in the standard 2+ 1d lattice $\mathbb {Z} _2 $
gauge theory coupled to the Ising model, and compare them with their continuum field …
gauge theory coupled to the Ising model, and compare them with their continuum field …
Deterministic constant-depth preparation of the AKLT state on a quantum processor using fusion measurements
The ground state of the spin-1 Affleck, Kennedy, Lieb, and Tasaki (AKLT) model is a
paradigmatic example of both a matrix product state and a symmetry-protected topological …
paradigmatic example of both a matrix product state and a symmetry-protected topological …
[图书][B] Physics and mathematics of quantum many-body systems
H Tasaki - 2020 - Springer
This is a self-contained advanced textbook on quantum many-body systems, which is
intended to be accessible to students and researchers in physics, mathematics, quantum …
intended to be accessible to students and researchers in physics, mathematics, quantum …
Classification of gapped symmetric phases in one-dimensional spin systems
Quantum many-body systems divide into a variety of phases with very different physical
properties. The questions of what kinds of phases exist and how to identify them seem hard …
properties. The questions of what kinds of phases exist and how to identify them seem hard …