Download Thesis Presentation Mr. Joshuah T. Heath Department of Physics

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the work of artificial intelligence, which forms the content of this project

Document related concepts

Theoretical and experimental justification for the Schrödinger equation wikipedia, lookup

Coherent states wikipedia, lookup

Double-slit experiment wikipedia, lookup

Density matrix wikipedia, lookup

History of quantum field theory wikipedia, lookup

Canonical quantization wikipedia, lookup

Quantum state wikipedia, lookup

Interpretations of quantum mechanics wikipedia, lookup

Path integral formulation wikipedia, lookup

Propagator wikipedia, lookup

T-symmetry wikipedia, lookup

Scalar field theory wikipedia, lookup

Renormalization group wikipedia, lookup

Symmetry in quantum mechanics wikipedia, lookup

Relativistic quantum mechanics wikipedia, lookup

Electron scattering wikipedia, lookup

Compact Muon Solenoid wikipedia, lookup

Monte Carlo methods for electron transport wikipedia, lookup

Introduction to quantum mechanics wikipedia, lookup

Renormalization wikipedia, lookup

Old quantum theory wikipedia, lookup

Elementary particle wikipedia, lookup

Identical particles wikipedia, lookup

Quantum entanglement wikipedia, lookup

Quantum field theory wikipedia, lookup

Eigenstate thermalization hypothesis wikipedia, lookup

Relational approach to quantum physics wikipedia, lookup

Quantum vacuum thruster wikipedia, lookup

Standard Model wikipedia, lookup

Nuclear structure wikipedia, lookup

Wave packet wikipedia, lookup

Quantum potential wikipedia, lookup

Ensemble interpretation wikipedia, lookup

Mathematical formulation of the Standard Model wikipedia, lookup

ATLAS experiment wikipedia, lookup

Bose–Einstein statistics wikipedia, lookup

Uncertainty principle wikipedia, lookup

Grand Unified Theory wikipedia, lookup

Quantum logic wikipedia, lookup

Future Circular Collider wikipedia, lookup

Quantum chaos wikipedia, lookup

Quantum tunnelling wikipedia, lookup

Canonical quantum gravity wikipedia, lookup

Quantum tomography wikipedia, lookup

Transcript
Thesis Presentation
Mr. Joshuah T. Heath
Department of Physics
University of Vermont
Adviser: Professor Adrian Del Maestro
Pressure-Energy Relation in Canonical 2D Dipolar
Bosons: A Path Integral Monte Carlo Study
One of the simplest conceptual models in quantum statistical physics is a gas of noninteracting particles with bosonic symmetry. In the grand canonical ensemble, particle
number and temperature are in equilibrium with an external reservoir and an exact
analytical expression can be derived for the partition function at any density and chemical
potential. In the canonical ensemble, the total number of particles, N, is fixed and an
expression for the partition function can only be generated via a complicated recursion
relation.
In this work we apply the recursion formula to obtain the partition function, and thus all
thermodynamic quantities, for up to 4 non-interacting bosons in three spatial dimensions
at low temperature. Analytical results for the pressure and energy are confirmed using
exact path integral quantum Monte Carlo simulations. From here, we turn on weak dipolar
interactions between the particles in two spatial dimensions and illustrate how quantum
Monte Carlo simulations can be used to explore the relationship between pressure and
energy in a system that could be experimentally realized using ultra-cold atomic gases.
Wednesday, April 29, 2015
8:00 AM
Cook Science A442