Quantum Phase Transitions and Matrix Product States in Spin Ladders

Abstract

We investigate quantum phase transitions in ladders of spin 1/2 particles by engineering suitable matrix product states for these ladders. We take into account both discrete and continuous symmetries and provide general classes of such models. We also study the behavior of entanglement of different neighboring sites near the transition point and show that quantum phase transitions in these systems are accompanied by divergences in derivatives of entanglement.

20 pages, 6 figures, essential changes (i.e derivation of the Hamiltonian), Revtex

References in corpus (4)

• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Matrix product states represent ground states faithfully
• DMRG and periodic boundary conditions: a quantum information perspective
• The Dynamics of 1D Quantum Spin Systems Can Be Approximated Efficiently

Cited by in corpus (6)

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• Entanglement and quantum phase transitions in matrix product spin one chains
• Entanglement and fidelity signatures of quantum phase transitions in spin liquid models
• Exact dimer ground states for a continuous family of quantum spin chains
• Exact symmetry breaking ground states for quantum spin chains
• Low energy properties of non-perturbative quantum systems: a space reduction approach