7 research outputs found
Ultra-Fast Relaxation, Decoherence and Localization of Photoexcited States in -Conjugated Polymers: A TEBD Study
The exciton relaxation dynamics of photoexcited electronic states in
poly(-phenylenevinylene) (PPV) are theoretically investigated within a
coarse-grained model, in which both the exciton and nuclear degrees of freedom
are treated quantum mechanically. The Frenkel-Holstein Hamiltonian is used to
describe the strong exciton-phonon coupling present in the system, while
external damping of the internal nuclear degrees of freedom are accounted for
by a Lindblad master equation. Numerically, the dynamics are computed using the
time evolving block decimation (TEBD) and quantum jump trajectory techniques.
The values of the model parameters physically relevant to polymer systems
naturally lead to a separation of time scales, with the ultra-fast dynamics
corresponding to energy transfer from the exciton to the internal phonon modes
(i.e., the C-C bond oscillations), while the longer time dynamics correspond to
damping of these phonon modes by the external dissipation. Associated with
these time scales, we investigate the following processes that are indicative
of the system relaxing onto the emissive chromophores of the polymer: 1)
Exciton-polaron formation occurs on an ultra-fast time scale, with the
associated exciton-phonon correlations present within half a vibrational time
period of the C-C bond oscillations. 2) Exciton decoherence is driven by the
decay in the vibrational overlaps associated with exciton-polaron formation,
occurring on the same time scale. 3) Exciton density localization is driven by
the external dissipation, arising from `wavefunction collapse' occurring as a
result of the system-environment interactions. Finally, we show how
fluorescence anisotropy measurements can be used to investigate the exciton
decoherence process during the relaxation dynamics.Comment: 16 pages, 15 figure
The Tensor Network Theory
In this technical paper we introduce the Tensor Network Theory (TNT) library - an open-source software project aimed at developing robust, easy to use and highly optimised code for TNT calculations, available at http://www.tensornetworktheory.org. The aims of this paper are threefold: to (i) give a brief but broad introduction to TNT, (ii) give an overview of the structure of TNT library, and (iii) describe in detail the core tensor features of the library
Topological pumping of photons in nonlinear resonator arrays
We show how to implement topological or Thouless pumping of interacting
photons in one dimensional nonlinear resonator arrays, by simply modulating the
frequency of the resonators periodically in space and time. The interplay
between interactions and the adiabatic modulations enables robust transport of
Fock states with few photons per site. We analyze the transport mechanism via
an effective analytic model and study its topological properties and its
protection to noise. We conclude by a detailed study of an implementation with
existing circuit QED architectures.Comment: 5 pages, 4 figures, and Supplemental Material. Comments are welcom
The Tensor Network Theory
In this technical paper we introduce the Tensor Network Theory (TNT) library
-- an open-source software project aimed at providing a platform for rapidly
developing robust, easy to use and highly optimised code for TNT calculations.
The objectives of this paper are (i) to give an overview of the structure of
TNT library, and (ii) to help scientists decide whether to use the TNT library
in their research. We show how to employ the TNT routines by giving examples of
ground-state and dynamical calculations of one-dimensional bosonic lattice
systems. We also discuss different options for gaining access to the software
available at http://www.tensornetworktheory.org.Comment: Updated to published version. 20 pages + 15 pages of appendice
Quantum simulation using ultracold atoms in two-dimensional optical lattices
Ultracold atoms in optical lattices can be used to model condensed matter systems. They provide a clean, tuneable system which can be engineered to reach parameter regimes that are not accessible in condensed matter systems. Furthermore, they provide different techniques for probing the properties of these systems. This thesis presents an experimental and theoretical study of ultracold atoms in optical lattices for quantum simulation of two-dimensional systems.The first part of this thesis describes an experiment with a Bose-Einstein condensate of 87Rb loaded into a two-dimensional optical lattice. The beams that generate the optical lattice are controlled by acousto-optic deflection to provide a flexible optical lattice potential. The use of a dynamic ‘accordion’ lattice with ultracold atoms, where the spacing of the lattice is increased in both directions from 2.2 to 5.5 μm, is described. This technique allows an experiment such as quantum simulations to be performed with a lattice spacing smaller than the resolution limit of the imaging system, while allowing imaging of the atoms at individual lattice sites by subsequent expansion of the optical lattice. The optical lattice can also be rotated, generating an artificial magnetic field. Previous experiments with the rotating optical lattice are summarised, and steps to reaching the strongly correlated regime are discussed. The second part of this thesis details numerical techniques that can be used to describe strongly correlated two-dimensional systems. These systems are challenging to simulate numerically, as the exponential growth in the size of the Hilbert space with the number of particles means that they can only be solved exactly for very small systems. Recently proposed correlator product states [Phys. Rev. B 80, 245116 (2009)] provide a numerically efficient description which can be used to simulate large two-dimensional systems. In this thesis we apply this method to the two-dimensional quantum Ising model, and the Bose-Hubbard model subject to an artificial magnetic field in the regime where fractional quantum Hall states are predicted to occur.EThOS - Electronic Theses Online ServiceGBUnited Kingdo
Topological pumping of photons in nonlinear resonator arrays
Summarization: We show how to implement topological or Thouless pumping of interacting photons in one-dimensional nonlinear resonator arrays by simply modulating the frequency of the resonators periodically in space and time. The interplay between the interactions and the adiabatic modulations enables robust transport of Fock states with few photons per site. We analyze the transport mechanism via an effective analytic model and study its topological properties and its protection to noise. We conclude by a detailed study of an implementation with existing circuit-QED architectures.Presented on: Physical Review Letter