Pronounced quantum many-body scars in the one-dimensional spin-1 Kitaev model

Topological quantum phase transition in the extended Kitaev spin model

Xiao-Feng Shi,1,2,3 Yue Yu,4 J. Q. You,1,2,3 and Franco Nori2,3,5 1Department of Physics and Surface Physics Laboratory (National Key Laboratory), Fudan University, Shanghai 200433, China 2Advanced Science Institute, The Institute of Physical and Chemical Research (RIKEN), Wako-shi 351-0198, Japan 3CREST, Japan Science and Technology Agency, Kawaguchi, Saitama 332-0012, Japan 4Institute of Theo...

Efficient simulation of one-dimensional quantum many-body systems.

We present a numerical method to simulate the time evolution, according to a generic Hamiltonian made of local interactions, of quantum spin chains and systems alike. The efficiency of the scheme depends on the amount of entanglement involved in the simulated evolution. Numerical analysis indicates that this method can be used, for instance, to efficiently compute time-dependent properties of l...

Time evolution of one-dimensional Quantum Many Body Systems

The level of current understanding of the physics of time-dependent strongly correlated quantum systems is far from complete, principally due to the lack of effective controlled approaches. Recently, there has been progress in the development of approaches for one-dimensional systems. We describe recent developments in the construction of numerical schemes for general (one-dimensional) Hamilton...

1 The Luttinger model : its role in the RG { theoryof one dimensional many body

One-dimensional Quantum Spin Liquids

This chapter is intended as a brief overview of some of the quantum spin liquid phases with unbroken SU(2) spin symmetry available in one dimension. The main characteristics of these phases are discussed by means of the bosonization approach. A special emphasis is laid on the interplay between frustration and quantum fluctuations in one dimension.