منابع مشابه
Emptiness Formation Probability and Quantum Knizhnik-Zamolodchikov Equation
We consider the one-dimensional XXX spin 1/2 Heisenberg antiferromagnet at zero temperature and zero magnetic field. We are interested in a probability of formation of a ferromagnetic string P (n) in the antiferromagnetic ground-state. We call it emptiness formation probability [EFP]. We suggest a new technique for computation of the EFP in the inhomogeneous case. It is based on the quantum Kni...
متن کاملEmptiness formation probability at finite temperature for the isotropicHeisenberg chain
We present an integral formula for a special correlation function of the isotropic spin-1/2 antiferromagnetic Heisenberg chain. The correlation function describes the probability for the occurrence of a string of consecutive up-spins as a function of temperature, magnetic field and length of the string.
متن کاملEmptiness Formation Probability for the Anisotropic XY Spin Chain in a Magnetic Field
We study an asymptotic behavior of the probability of formation of a ferromagnetic string (referred to as EFP) of length n in a ground state of the one-dimensional anisotropic XY model in a transversal magnetic field as n → ∞. We find that it is exponential everywhere in the phase diagram of the XY model except at the critical lines where the spectrum is gapless. One of those lines corresponds ...
متن کاملThe emptiness formation probability correlation in homogeneous and dimerized XX chains
We review some known properties of the “emptiness formation probability” correlation which we have calculated numerically for spin-1/2 XX chains with constant (homogeneous) or alternating (dimerized) nearestneighbor coupling and an external field (in z direction) for arbitrary temperature. The long-distance asymptotic behavior of this correlation is known to be Gaussian at zero temperature and ...
متن کاملAsymptotic Behavior of the Emptiness Formation Probability in the Critical Phase of XXZ Spin Chain
We study the Emptiness Formation Probability (EFP) for the spin 1/2 XXZ spin chain. EFP P (n) detects a formation of ferromagnetic string of the length n in the ground state. It is expected that EFP decays in a Gaussian way for large strings P (n) ∼ n−γC−n2. Here, we propose the explicit expressions for the rate of Gaussian decay C as well as for the exponent γ. In order to confirm the validity...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2016
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-016-2689-5