scholarly journals Yang-Baxter integrable Lindblad equations

2020 ◽  
Vol 8 (3) ◽  
Author(s):  
Aleksandra A. Ziolkowska ◽  
Fabian Essler
Keyword(s):  
Bethe Ansatz ◽  
Quantum Spin ◽  
Spin Chains ◽  
Integrable Models ◽  
Late Time ◽  
Quantum Spin Chains ◽  
Operator Formalism ◽  
One Dimensional ◽  
Time Dynamics

We consider Lindblad equations for one dimensional fermionic models and quantum spin chains. By employing a (graded) super-operator formalism we identify a number of Lindblad equations than can be mapped onto non-Hermitian interacting Yang-Baxter integrable models. Employing Bethe Ansatz techniques we show that the late-time dynamics of some of these models is diffusive.

scholarly journals Real-time dynamics of string breaking in quantum spin chains

2020 ◽  
Vol 102 (1) ◽  
Author(s):  
Roberto Verdel ◽  
Fangli Liu ◽  
Seth Whitsitt ◽  
Alexey V. Gorshkov ◽  
Markus Heyl
Keyword(s):  
Real Time ◽  
Quantum Spin ◽  
Spin Chains ◽  
Quantum Spin Chains ◽  
Time Dynamics

scholarly journals MARKOVIAN KMS-STATES FOR ONE-DIMENSIONAL SPIN CHAINS

1999 ◽  
Vol 02 (04) ◽  
pp. 645-661 ◽  
Author(s):  
LUIGI ACCARDI ◽  
VOLKMAR LIEBSCHER
Keyword(s):  
Quantum Spin ◽  
Spin Chains ◽  
Quantum Spin Chains ◽  
Kms States ◽  
One Dimensional ◽  
Locality Property ◽  
Conditional Expectations ◽  
Starting Point ◽  
Modular Automorphism ◽  
Quantum Spin Lattices

We characterize a class of quantum Markov states in terms of a locality property of their modular automorphism group or, equivalently, of their φ-conditional expectations and we give an explicit description of the structure of these states. This study is meant as a starting point for the investigation of the structure of Markovian KMS-states of quantum spin chains as well as of multidimensional quantum spin lattices.

Sign in / Sign up

Export Citation Format

Share Document