Local reversibility and entanglement structure of many-body ground states

Reversibility of Local Transformations of Multiparticle Entanglement

N. Linden, S. Popescu, B. Schumacher and M. Westmoreland Department of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW, UK H.H. Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol BS8 1TL, UK BRIMS, Hewlett-Packard Laboratories, Stoke Gifford, Bristol BS12 6QZ, UK Department of Physics, Kenyon College, Gambier, OH 43022, USA Department of Mathematical S...

Entanglement in Many-Body Systems

The recent interest in aspects common to quantum information and condensed matter has prompted a flory of activity at the border of these disciplines that were far distant untill few years ago. Numerous interesting questions have been addressed so far. Here we review an important part of this field, the properties of the entanglement in many-body systems. We discuss the zero and finite temperat...

Entanglement and Ground States of Gapped Hamiltonians

Local conservation laws and the structure of the many-body localized states.

We construct a complete set of local integrals of motion that characterize the many-body localized (MBL) phase. Our approach relies on the assumption that local perturbations act locally on the eigenstates in the MBL phase, which is supported by numerical simulations of the random-field XXZ spin chain. We describe the structure of the eigenstates in the MBL phase and discuss the implications of...

Macroscopic entanglement of many-magnon states

Abstract We study macroscopic entanglement of various pure states of a one-dimensional N -spin system with N ≫ 1. Here, a quantum state is said to be macroscopically entangled if it is a superposition of macroscopically distinct states. To judge whether such superposition is hidden in a general state, we use an essentially unique index p: A pure state is macroscopically entangled if p = 2, wher...