scholarly journals Anomalies and unusual stability of multicomponent Luttinger liquids in Zn×Zn spin chains

2021 ◽  
Vol 104 (4) ◽  
Author(s):  
Yahya Alavirad ◽  
Maissam Barkeshli
Keyword(s):  
Spin Chains ◽  
Luttinger Liquids

scholarly journals Haldane-gapped spin chains as Luttinger liquids: Correlation functions at finite field

2002 ◽  
Vol 66 (14) ◽  
Author(s):  
Robert M. Konik ◽  
Paul Fendley
Keyword(s):  
Finite Field ◽  
Correlation Functions ◽  
Spin Chains ◽  
Luttinger Liquids

scholarly journals Spin-resolved entanglement spectroscopy of critical spin chains and Luttinger liquids

2014 ◽  
Vol 2014 (11) ◽  
pp. P11013 ◽  
Author(s):  
Nicolas Laflorencie ◽  
Stephan Rachel
Keyword(s):  
Spin Chains ◽  
Luttinger Liquids

scholarly journals Breaking of Huygens-Fresnel principle in inhomogeneous Tomonaga-Luttinger liquids

2021 ◽  
Author(s):  
Marek Gluza ◽  
Per Moosavi ◽  
Spyros Sotiriadis
Keyword(s):  
Light Cone ◽  
Ultracold Atoms ◽  
Spin Chains ◽  
Many Body ◽  
Luttinger Liquids ◽  
Main Motivation ◽  
One Dimensional ◽  
Superconducting Circuits ◽  
Many Body Systems ◽  
Two Parameters

Abstract Tomonaga-Luttinger liquids (TLLs) can be used to effectively describe one-dimensional quantum many-body systems such as ultracold atoms, charges in nanowires, superconducting circuits, and gapless spin chains. Their properties are given by two parameters, the propagation velocity and the Luttinger parameter. Here we study inhomogeneous TLLs where these are promoted to functions of position and demonstrate that they profoundly affect the dynamics: In general, besides curving the light cone, we show that propagation is no longer ballistically localized to the light-cone trajectories, different from standard homogeneous TLLs. Specifically, if the Luttinger parameter depends on position, the dynamics features pronounced spreading into the light cone, which cannot be understood via a simple superposition of waves as in the Huygens-Fresnel principle. This is the case for ultracold atoms in a parabolic trap, which serves as our main motivation, and we discuss possible experimental observations in such systems.

Solvable nineteen-vertex models and quantum spin chains of spin one

1994 ◽  
Vol 4 (8) ◽  
pp. 1151-1159 ◽  
Author(s):  
Makoto Idzumi ◽  
Tetsuji Tokihiro ◽  
Masao Arai
Keyword(s):  
Quantum Spin ◽  
Spin Chains ◽  
Quantum Spin Chains ◽  
Vertex Models

Flow diagram for impurity scattering in Tomonaga-Luttinger liquids

1998 ◽  
Vol 168 (2) ◽  
pp. 184
Author(s):  
Y. Oreg ◽  
A.M. Finkel'stein
Keyword(s):  
Impurity Scattering ◽  
Flow Diagram ◽  
Luttinger Liquids

Spin chains

2018 ◽  
Keyword(s):  
Spin Chains

scholarly journals Complete characterization of spin chains with two Ising symmetries

2019 ◽  
Vol 125 (1) ◽  
pp. 10008 ◽  
Author(s):  
Bat-el Friedman ◽  
Atanu Rajak ◽  
Emanuele G. Dalla Torre
Keyword(s):  
Complete Characterization ◽  
Spin Chains

scholarly journals The integrable (hyper)eclectic spin chain

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Changrim Ahn ◽  
Matthias Staudacher
Keyword(s):  
Spin Chain ◽  
Nearest Neighbor ◽  
Inverse Scattering Method ◽  
Spin Chains ◽  
Scattering Method ◽  
Yang Mills ◽  
Deformation Parameters ◽  
Dilatation Operator ◽  
The One ◽  
State Spin

Abstract We refine the notion of eclectic spin chains introduced in [1] by including a maximal number of deformation parameters. These models are integrable, nearest-neighbor n-state spin chains with exceedingly simple non-hermitian Hamiltonians. They turn out to be non-diagonalizable in the multiparticle sector (n > 2), where their “spectrum” consists of an intricate collection of Jordan blocks of arbitrary size and multiplicity. We show how and why the quantum inverse scattering method, sought to be universally applicable to integrable nearest-neighbor spin chains, essentially fails to reproduce the details of this spectrum. We then provide, for n=3, detailed evidence by a variety of analytical and numerical techniques that the spectrum is not “random”, but instead shows surprisingly subtle and regular patterns that moreover exhibit universality for generic deformation parameters. We also introduce a new model, the hypereclectic spin chain, where all parameters are zero except for one. Despite the extreme simplicity of its Hamiltonian, it still seems to reproduce the above “generic” spectra as a subset of an even more intricate overall spectrum. Our models are inspired by parts of the one-loop dilatation operator of a strongly twisted, double-scaled deformation of $$ \mathcal{N} $$ N = 4 Super Yang-Mills Theory.

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