# Bond algebraic liquid phase in strongly correlated multiflavor cold atom systems

## Abstract

When cold atoms are trapped in a square or cubic optical lattice, it should be possible to pump the atoms into excited p-level orbitals within each well. Following earlier work, we explore the metastable equilibrium that can be established before the atoms decay into the s-wave orbital ground state. We will discuss the situation with integer number of bosons on every site, and consider the strong correlation ''insulating'' regime. By employing a spin-wave analysis together with a duality transformation, we establish the existence and stability of a gapless ''critical phase,'' which we refer to as a ''bond algebraic liquid.'' The gapless nature of this phase is stabilized due to the emergence of symmetries which lead to a quasi-one-dimensional behavior. Within the algebraic liquid phase, both bond operators and particle flavor occupation number operators have correlations which decay algebraically in space and time. Upon varying parameters, the algebraic bond liquid can be unstable to either a Mott insulator phase which spontaneously breaks lattice symmetries, or a Z{sub 2} phase. The possibility of detecting the algebraic liquid phase in cold atom experiments is addressed. Although the momentum distribution function is insufficient to distinguish the algebraic bond liquid from other phases, the densitymore »

- Authors:

- Department of Physics, University of California, Berkeley, California 94720 (United States)
- Kavli Institute of Theoretical Physics, University of California, Santa Barbara, California 93106 (United States)

- Publication Date:

- OSTI Identifier:
- 20957771

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. B, Condensed Matter and Materials Physics; Journal Volume: 75; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevB.75.104428; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS; ATOMS; BOSONS; CORRELATION FUNCTIONS; DECAY; DENSITY; DISTRIBUTION FUNCTIONS; ELECTRON CORRELATION; FLAVOR; GROUND STATES; LIQUIDS; METASTABLE STATES; OCCUPATION NUMBER; ONE-DIMENSIONAL CALCULATIONS; S WAVES; SPIN WAVES; SYMMETRY

### Citation Formats

```
Xu, Cenke, and Fisher, Matthew P. A..
```*Bond algebraic liquid phase in strongly correlated multiflavor cold atom systems*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVB.75.104428.

```
Xu, Cenke, & Fisher, Matthew P. A..
```*Bond algebraic liquid phase in strongly correlated multiflavor cold atom systems*. United States. doi:10.1103/PHYSREVB.75.104428.

```
Xu, Cenke, and Fisher, Matthew P. A.. Thu .
"Bond algebraic liquid phase in strongly correlated multiflavor cold atom systems". United States.
doi:10.1103/PHYSREVB.75.104428.
```

```
@article{osti_20957771,
```

title = {Bond algebraic liquid phase in strongly correlated multiflavor cold atom systems},

author = {Xu, Cenke and Fisher, Matthew P. A.},

abstractNote = {When cold atoms are trapped in a square or cubic optical lattice, it should be possible to pump the atoms into excited p-level orbitals within each well. Following earlier work, we explore the metastable equilibrium that can be established before the atoms decay into the s-wave orbital ground state. We will discuss the situation with integer number of bosons on every site, and consider the strong correlation ''insulating'' regime. By employing a spin-wave analysis together with a duality transformation, we establish the existence and stability of a gapless ''critical phase,'' which we refer to as a ''bond algebraic liquid.'' The gapless nature of this phase is stabilized due to the emergence of symmetries which lead to a quasi-one-dimensional behavior. Within the algebraic liquid phase, both bond operators and particle flavor occupation number operators have correlations which decay algebraically in space and time. Upon varying parameters, the algebraic bond liquid can be unstable to either a Mott insulator phase which spontaneously breaks lattice symmetries, or a Z{sub 2} phase. The possibility of detecting the algebraic liquid phase in cold atom experiments is addressed. Although the momentum distribution function is insufficient to distinguish the algebraic bond liquid from other phases, the density correlation function can in principle be used to detect this phase of matter.},

doi = {10.1103/PHYSREVB.75.104428},

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

number = 10,

volume = 75,

place = {United States},

year = {Thu Mar 01 00:00:00 EST 2007},

month = {Thu Mar 01 00:00:00 EST 2007}

}