# Entanglement entropy of coupled conformal field theories and Fermi liquids

## Abstract

In this paper, we calculate the entanglement Renyi entropy of two coupled gapless systems in general spatial dimension d. The gapless systems can be either conformal field theories or Fermi liquids. We assume the two systems are coupled uniformly in an h-dimensional submanifold of the space, with 0{<=}h{<=}d. We will focus on the scaling of the Renyi entropy with the size of the system, and its scaling with the intersystem coupling constant g. Three approaches will be used for our calculation: (1) exact calculation with ground-state wave functional, (2) perturbative calculation with functional path integral, and (3) scaling argument.

- Authors:

- Department of Physics, University of California, Santa Barbara, California 93106 (United States)

- Publication Date:

- OSTI Identifier:
- 21596874

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review. B, Condensed Matter and Materials Physics

- Additional Journal Information:
- Journal Volume: 84; Journal Issue: 12; Other Information: DOI: 10.1103/PhysRevB.84.125119; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1098-0121

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; COMPUTERIZED SIMULATION; CONFORMAL INVARIANCE; COUPLING CONSTANTS; ENTROPY; FERMI GAS; GROUND STATES; PERTURBATION THEORY; QUANTUM ENTANGLEMENT; QUANTUM FIELD THEORY; SCALING; WAVE FUNCTIONS; ENERGY LEVELS; FIELD THEORIES; FUNCTIONS; INVARIANCE PRINCIPLES; PHYSICAL PROPERTIES; SIMULATION; THERMODYNAMIC PROPERTIES

### Citation Formats

```
Xu Cenke.
```*Entanglement entropy of coupled conformal field theories and Fermi liquids*. United States: N. p., 2011.
Web. doi:10.1103/PHYSREVB.84.125119.

```
Xu Cenke.
```*Entanglement entropy of coupled conformal field theories and Fermi liquids*. United States. doi:10.1103/PHYSREVB.84.125119.

```
Xu Cenke. Thu .
"Entanglement entropy of coupled conformal field theories and Fermi liquids". United States. doi:10.1103/PHYSREVB.84.125119.
```

```
@article{osti_21596874,
```

title = {Entanglement entropy of coupled conformal field theories and Fermi liquids},

author = {Xu Cenke},

abstractNote = {In this paper, we calculate the entanglement Renyi entropy of two coupled gapless systems in general spatial dimension d. The gapless systems can be either conformal field theories or Fermi liquids. We assume the two systems are coupled uniformly in an h-dimensional submanifold of the space, with 0{<=}h{<=}d. We will focus on the scaling of the Renyi entropy with the size of the system, and its scaling with the intersystem coupling constant g. Three approaches will be used for our calculation: (1) exact calculation with ground-state wave functional, (2) perturbative calculation with functional path integral, and (3) scaling argument.},

doi = {10.1103/PHYSREVB.84.125119},

journal = {Physical Review. B, Condensed Matter and Materials Physics},

issn = {1098-0121},

number = 12,

volume = 84,

place = {United States},

year = {2011},

month = {9}

}

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