Entanglement in Strongly-Correlated Quantum Matter

Coordinators: Tarun Grover, Matthew Headrick, Roger Melko

Scientific Advisors: Matthew Hastings, Rob Myers, Subir Sachdev, Rajiv Singh, Xiao-Gang Wen

It is increasingly apparent that quantum entanglement offers a powerful lens through which to view condensed matter systems. Significant accomplishments have recently been achieved in our understanding of the entanglement structure of strongly correlated states of matter, for example topologically ordered states and quantum critical points. This program will build on this progress by examining the behavior of entanglement in conventional and unconventional condensed matter systems, combining quantum field theory, models, and numerical techniques. The program will include integral participation by high-energy theorists working on topics of intense common interest, such as entanglement in quantum field theories, including holographic ones, and in time-dependent states.

Some of the goals of the program are:

• Characterize and classify phases of matter and quantum critical points through the entanglement structure of their ground state wavefunctions.

• Develop new ways to calculate entanglement in realistic models, through exact diagonalization, quantum Monte Carlo, density matrix renormalization, tensor networks, series expansion, and beyond.

• Derive consequences of the entanglement-based theorems ("c-theorems") that constrain the renormalization group flow of quantum field theories.

• Explore entanglement in holographic theories, including those used to model condensed matter systems, and possible connections between holography and tensor-network states.

• Understand entanglement in time-dependent states, such as that following a quench, and its use as a probe of thermalization in many-body systems.

• Develop realistic proposals of measuring entanglement in experiments on condensed matter and cold atom systems.

There will be an associated conference, to be held 6/1 - 5, 2015. Those interested in attending the conference only should apply separately for that event.