Spectral functions in one-dimensional quantum systems at finite temperature using the density matrix renormalization group

T Barthel, U Schollwöck, SR White - Physical Review B—Condensed Matter …, 2009 - APS
We present time-dependent density matrix renormalization group simulations (t-DMRG) at
finite temperatures. It is demonstrated how a combination of finite-temperature t-DMRG and …

Low temperature relaxational dynamics of the Ising chain in a transverse field

S Sachdev, AP Young - Physical review letters, 1997 - APS
We present asymptotically exact results for the real time order parameter correlations of a
class of d= 1 Ising models in a transverse field at low temperatures (T) on both sides of the …

Time evolution of correlation functions in quantum many-body systems

ÁM Alhambra, J Riddell, LP García-Pintos - Physical Review Letters, 2020 - APS
We give rigorous analytical results on the temporal behavior of two-point correlation
functions—also known as dynamical response functions or Green's functions—in closed …

Random transverse Ising spin chain and random walks

F Iglói, H Rieger - Physical Review B, 1998 - APS
We study the critical and off-critical (Griffiths-McCoy) regions of the random transverse-field
Ising spin chain by analytical and numerical methods and by phenomenological scaling …

Distributions of gaps and end-to-end correlations in random transverse-field Ising spin chains

DS Fisher, AP Young - Physical Review B, 1998 - APS
A previously introduced real-space renormalization-group treatment of the random
transverse-field Ising spin chain is extended to provide detailed information on the …

Emptiness Formation Probability for the One-Dimensional Isotropic XY Model

M Shiroishi, M Takahashi, Y Nishiyama - journal of the physical …, 2001 - journals.jps.jp
We study a correlation function for the one-dimensional isotropic XY model (XX 0 model),
which is called the Emptiness Formation Probability (EFP). It is the probability of the …

Minimally entangled typical thermal states versus matrix product purifications for the simulation of equilibrium states and time evolution

M Binder, T Barthel - Physical Review B, 2015 - APS
For the simulation of equilibrium states and finite-temperature response functions of strongly
correlated quantum many-body systems, we compare the efficiencies of two different …

New results for the correlation functions of the Ising model and the transverse Ising chain

JHH Perk, H Au-Yang - Journal of Statistical Physics, 2009 - Springer
In this paper we show how an infinite system of coupled Toda-type nonlinear differential
equations derived by one of us can be used efficiently to calculate the time-dependent pair …

The hydrodynamic theory of dynamical correlation functions in the XX chain

GDV Del Vecchio, B Doyon - Journal of Statistical Mechanics …, 2022 - iopscience.iop.org
By the hydrodynamic linear response theory, dynamical correlation functions decay as
power laws along certain velocities, determined by the flux Jacobian. Such correlations are …

Repulsive Tomonaga-Luttinger liquid in the quasi-one-dimensional alternating spin- antiferromagnet

SS Islam, PK Mukharjee, PK Biswas, M Telling… - Physical Review B, 2024 - APS
We probe the magnetic field-induced Tomonaga-Luttinger liquid (TLL) state in the bond-
alternating spin-1/2 antiferromagnetic (AFM) chain compound NaVOPO 4 using …