Entanglement Entropies in One-Dimensional Systems

Abstract

Entanglement entropies have revealed, in the last years, to be a powerful tool to extract information about the physics of condensed-matter systems. In the first part of this thesis, we show how to extract essential details about the quasi-long-range order of a one-dimensional critical systems by means of entanglement entropies. In the second part we show how to derive analytically the scaling of such quantities for critical systems, whose low-energy physics is described by a conformal field theory, in presence of general open boundary conditions that preserve the conformal invariance.

Ph.D. Thesis at Bologna University (2013)

References in corpus (2)

• Scaling of the Rényi entropies in gapped quantum spin systems: Entanglement-driven order beyond symmetry breaking
• Methods for Time Dependence in DMRG

Cited by in corpus (6)

• Quantum entanglement in condensed matter systems
• Dynamics of entanglement entropy and entanglement spectrum crossing a quantum phase transition
• Bound states and expansion dynamics of interacting bosons on a one-dimensional lattice
• Renormalization group flows for Wilson-Hubbard matter and the topological Hamiltonian
• Boundary effects in entanglement entropy
• Rényi entropies for one-dimensional quantum systems with mixed boundary conditions