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Mohammad Pouranvari

Mohammad Pouranvari

Academic rank: Assistant Professor
ORCID:
Education: PhD.
ScopusId:
HIndex:
Faculty: Science
Address: University of Mazandaran
Phone: 011-35305195

Research

Title
Entanglement spectrum and entangled modes of random X X spin chains
Type
JournalPaper
Keywords
Quantum entanglement, real space renormalization group, spin chain
Year
2013
Journal Physical Review B - Condensed Matter and Materials Physics
DOI
Researchers Mohammad Pouranvari ، Kun yang

Abstract

In this paper, we study the ground-state entanglement properties of finite XX spin-1/2 chains with random couplings using the Jordan-Wigner transformation. We divide the system into two parts and study the reduced density matrices (RDMs) of its subsystems. Due to the free-fermion nature of the problem, the RDMs take the form of that of a free-fermion thermal ensemble. Finding the spectrum of the corresponding entanglement Hamiltonian and corresponding eigenvectors and comparing them with the real-space renormalization-group (RSRG) treatment, we establish the validity of the RSRG approach for entanglement in the limit of strong disorder but also find its limitations when disorder is weak. In the latter case, our paper provides a way to visualize the “effective spins” that form long-distance singlet pairs.