# Fingerprint Dive into the research topics where Marcos Antonio Rigol is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

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### Physics & Astronomy

#### Physics

bosons

fermions

momentum

ground state

harmonics

temperature

atoms

oscillations

perturbation

physics

orbitals

visibility

#### Mathematical and Computer Sciences

eigenvectors

approximation

symmetry

perturbation theory

#### General

expansion

insulators

entropy

thermodynamics

phase diagrams

chaos

interactions

confining

distribution functions

scaling

occupation

simulation

Ising model

thermodynamic properties

critical point

Jordan

predictions

probes

frustration

cooling

operators

renormalization group methods

statistical mechanics

boundary conditions

quantum chromodynamics

#### Engineering

traps

magnetic permeability

distillation

trapping

superconductivity

#### Chemistry and Materials

gases

condensates

compressibility

#### Life Sciences

disorders

### Engineering & Materials Science

Optical lattices

Fermions

Hubbard model

Bosons

Thermodynamics

Phase diagrams

Ground state

Phase transitions

Superconductivity

Entropy

Atoms

Wave functions

Momentum

Temperature

Thermodynamic properties

Compressibility

Boundary conditions

Charge density waves

Spin waves

Condensed matter physics

### Mathematics

Quantum Systems

Finite Temperature

Cluster Algorithm

Cluster Expansion

Quantum Chaos

Ising Model

Unordered

One-dimensional System

Diagonalization

Thermal Equilibrium

Ensemble

Diagonal matrix

Integrable Models

Entropy