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Local Noether theorem for quantum lattice systems and topological ...


Topological Quantum Statistical Mechanics and Topological ... - MDPI

One must take into account the contribution of nontrivial topological effect to the partition function and thermodynamic properties of the 3D Ising system. Any ...

An introduction to spontaneous symmetry breaking - SciPost

It should be emphasised that the local form of Noether's theorem ∂ν j ν = 0 ... Unlike the integer quantum Hall systems and topological insulators,.

The classification of symmetry protected topological phases of one ...

Local Noether theorem for quantum lattice systems and topological invariants of gapped states. Journal of Mathematical Physics, Vol. 63 ...

Higher-rank tensor non-Abelian field theory

We also generalize Noether's theorem for this higher-moment polynomial global symmetry. We can promote the higher-moment global symmetry to a ...

Symmetry Breaking & Topological Defects | Quantum Field Theory ...

Symmetry breaking and topological defects are crucial concepts in quantum field theory. They explain how systems can transition from symmetric states to ...

Emmy-Noether seminar - Universität Leipzig

... topology in quantum field theory. It is shown that if the HDV sectors are ... Roughly speaking, a family of quantum fields is strongly local if it generates a ...

JHEP05(2023)090

Keywords: Anomalies in Field and String Theories, Lattice Quantum Field Theory ... The topological nature of the lattice-version index theorem ...

Noether's theorem in nLab

Here we formulate Noether's theorem for local action functional in terms of the variational bicomplex and the covariant phase space. Simple ...

Graph Rewriting for Lattice Topological Invariants - YouTube

... local perturbations to a field configuration, looking for discrete analogs to Noether's theorem. Furthermore, via coloured graphs, with this ...

Sufficient symmetry conditions for Topological Quantum Order - PMC

The physical engine behind our theorem are topological defects. For instance, introducing a (1D) soliton into an orbital compass model state ...

Topology by Dissipation: Majorana Bosons in Metastable Quadratic ...

breakdown of Noether's theorem for open systems [28, 30], in the sense ... Gough, “Noether's theorem for dissipative quantum dynami- cal semi-groups ...

PUBLICATION LIST (1) Quantum angular momentum fluctuations J ...

(2) Groups of canonical transformations and the virial-Noether theorem ... (112) Quasi-Locality Bounds for Quantum Lattice Systems. I. Lieb-Robinson ...

2020/06 - SangEun Han

https://arxiv.org/abs/2006.05524 Topological Quantum Computing on a Conventional Quantum Computer **** ... theorems in quantum spin systems ***** (Dominic V. Else).

A symmetry principle for topological quantum order - ScienceDirect

We present a unifying framework to study physical systems which exhibit topological quantum order (TQO). The major guiding principle behind our approach is ...

Topological Aspects of Condensed Matter Seminar - Harvard CMSA

Abstract: Noether's theorem is one of the fundamental laws of physics, relating continuous symmetries and conserved currents. Here we explore ...

Quantum physics articles within Nature Communications

According to Noether's theorem, every symmetry of a dynamical evolution implies a conservation law. Marvian and Spekkens show that this theorem is deficient for ...

Lieb's Theorem and Maximum Entropy Condensates

Lattice geometry plays a decisive role in the properties of discrete quantum systems. ... Topological band engineering of. Lieb lattice in ...

Topological solitons - LMPT

... Quantum Geometry: A Statistical Field Theory Approach. A. M. Anile ... Systems. V. Belinkski and E. Verdaguer Gravitational Solitons. J. Bernstein Kinetic ...

Geometry and Response of Lindbladians - Physical Review Journals

Smolyanov, Noether's Theorem for Dissipative Quantum ... Vidal, Mixed-State Dynamics in One-Dimensional Quantum Lattice Systems: A Time-Dependent ...

Classical Field Theory - Horaƫiu Năstase - Google Books

It describes various classical methods for fields with negligible quantum effects, for instance electromagnetism and gravitational fields. It ...