Quantum Effects In Low Temperature Bosonic Systems
arXiv:1002.4001
Abstract
In the first part, we investigate the effect of long range particle exchange in ideal bosonic chains. We establish that by using the Heisenberg formalism along with matrix product state representation we can study the evolution as well as the ground state of bosonic arrangements while including terms beyond next-neighbour hopping. The method is then applied to analyse the quench dynamics of condensates in a trapping potential and also to study the emergence of entanglement as a result of collision in boson chains. In the second part, we study the ground state as well as the dynamics of 1D boson arrangements with local repulsive interactions and nearest-neighbour exchange using numerical techniques based on time evolving block decimation (TEBD). We focus on the development of quantum correlations between the terminal places of these arrangements. We find that long-range entanglement in the ground state arises as a result of intense boson tunnelling taking place across the whole chain in systems with appropriate hopping coefficients. Additionally, we identify the perturbations necessary to increase the entanglement between the end sites above their ground state values. In the final part, we study the wave function of a kicked condensate using a perturbative approach and compare the results obtained in this way with numerical simulations.
Ph.D. Thesis
References in corpus (62)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Separability Criterion for Density Matrices
- A computable measure of entanglement
- Cold bosonic atoms in optical lattices
- Efficient classical simulation of slightly entangled quantum computations
- Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
- Efficient simulation of one-dimensional quantum many-body systems
- Observation of resonance condensation of fermionic atom pairs
- Real time evolution using the density matrix renormalization group
- Quantum Communication Through an Unmodulated Spin Chain
- Perfect state transfer in quantum spin networks
- Entanglement renormalization
- Experimental Study of the BEC-BCS Crossover Region in Lithium 6
- Entanglement of atoms via cold controlled collisions
- Direct Observation of Second Order Atom Tunnelling
- Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
- Quantum Teleportation Between Distant Matter Qubits
- Interaction Quench in the Hubbard model
- Exact relaxation in a class of non-equilibrium quantum lattice systems
- Local entanglement and quantum phase transition in the Hubbard model
- Entanglement and quantum phase transition in the extended Hubbard model
- The one-dimensional Bose-Hubbard Model with nearest-neighbor interaction
- Phases of the one-dimensional Bose-Hubbard model
- Spreading of correlations and entanglement after a quench in the one-dimensional Bose-Hubbard model
- Characterizing the entanglement of symmetric many-particle spin-1/2 systems
- Strongly inhibited transport of a 1D Bose gas in a lattice
- Towards mechanical entanglement in nano-electromechanical devices
- Long-distance entanglement in spin systems
- The Dynamics of 1D Quantum Spin Systems Can Be Approximated Efficiently
- Role of interactions in 87Rb-40K Bose-Fermi mixtures in a 3d optical lattice
- Perfect state transfer on a spin-chain without state initialization
- Formation of Quantum Shock Waves by Merging and Splitting Bose-Einstein Condensates
- Counting atoms using interaction blockade in an optical superlattice
- Ultracold atoms confined in an optical lattice plus parabolic potential: a closed-form approach
- Probing local relaxation of cold atoms in optical superlattices
- Nonlocality of a single particle
- Tuning the Mott transition in a Bose-Einstein condensate by multi-photon absorption
- Density Matrix Renormalization Group in the Heisenberg Picture
- Transition to Instability in a Kicked Bose-Einstein Condensate
- Quantum Simulation of the Hubbard Model: The Attractive Route
- Direct equivalence between quantum phase transition phenomena in radiation-matter and magnetic systems: scaling of entanglement
- Transition to Instability in a Periodically Kicked Bose-Einstein Condensate on a Ring
- Natural Entanglement in Bose-Einstein Condensates
- Entanglement growth and simulation efficiency in one-dimensional quantum lattice systems
- Creating a supersolid in one-dimensional Bose mixtures
- Numerical Analysis of Coherent Many-Body Currents in a Single Atom Transistor
- Dynamic structure factor of ultracold Bose and Fermi gases in optical lattices
- General Quantum Resonances of the Kicked Particle
- Freezing distributed entanglement in spin chains
- -Kicked Quantum Rotors: Localization and `Critical' Statistics
- The Bose-Hubbard ground state: extended Bogoliubov and variational methods compared with time-evolving block decimation
- Detection and engineering of spatial mode entanglement with ultra-cold bosons
- Heavily Damped Motion of One-Dimensional Bose Gases in an Optical Lattice
- Dipole oscillations of confined lattice bosons in one dimension
- Nonlinear resonances in δ-kicked Bose-Einstein Condensates
- Entanglement generation via scattering of two particles with hard-core repulsion
- Migration of bosonic particles across a Mott insulator to superfluid phase interface
- Theory of 2-kicked Quantum Rotors
- Ultracold bosons in disordered superlattices: Mott-insulators induced by tunneling
- End-to-end entanglement in Bose-Hubbard chains
- Long Range Free Bosonic Models in Block Decimation Notation: Applications and Entanglement
- Recovery of Hidden Interference in Mott Insulators