An Exact Expression for Multidimensional Spectroscopy of a Spin-Boson
Hamiltonian
- URL: http://arxiv.org/abs/2311.05458v1
- Date: Thu, 9 Nov 2023 15:49:37 GMT
- Title: An Exact Expression for Multidimensional Spectroscopy of a Spin-Boson
Hamiltonian
- Authors: Albert Liu
- Abstract summary: We provide an exact expression for multidimensional spectra of a spin-boson Hamiltonian up to arbitrary order of electric field interaction.
We demonstrate the utility of this expression by modeling polaron formation and coherent exciton-phonon coupling in quantum dots.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Multidimensional coherent spectroscopy is a powerful tool to characterize
nonlinear optical response functions. Typically, multidimensional spectra are
interpreted via a perturbative framework that straightforwardly provides
intuition into the density matrix dynamics that give rise to specific spectral
features. When the goal is to characterize system coupling to a thermal bath
however, the perturbative formalism becomes unwieldy and yields less intuition.
Here, we extend an approach developed by Vagov et al. to provide an exact
expression for multidimensional spectra of a spin-boson Hamiltonian up to
arbitrary order of electric field interaction. We demonstrate the utility of
this expression by modeling polaron formation and coherent exciton-phonon
coupling in quantum dots, which strongly agree with experiment.
Related papers
- Nonlinear dynamical Casimir effect and Unruh entanglement in waveguide QED with parametrically modulated coupling [83.88591755871734]
We study theoretically an array of two-level qubits moving relative to a one-dimensional waveguide.
When the frequency of this motion approaches twice the qubit resonance frequency, it induces parametric generation of photons and excitation of the qubits.
We develop a comprehensive general theoretical framework that incorporates both perturbative diagrammatic techniques and a rigorous master-equation approach.
arXiv Detail & Related papers (2024-08-30T15:54:33Z) - Coherent multidimensional spectroscopy in polariton systems [0.0]
Fast dynamics of molecular polaritonics is scrutinized theoretically through the implementation of two-dimensional spectroscopy protocols.
We derive conceptually simple and computationally efficient formulas to calculate two-dimensional spectra for molecules.
Our theoretical method provides a deeper insight in those processes that yield relevant signals in multidimensional molecular spectroscopy.
arXiv Detail & Related papers (2024-03-07T18:37:52Z) - Linear response of molecular polaritons [0.0]
We show that the collective light-matter strong coupling regime, where $N$ molecular emitters couple to the photon mode of an optical cavity, can be mapped to a quantum impurity model.
We derive simple analytical expressions for linear optical spectra (transmission, reflection, and absorption) where the only molecular input required is the molecular linear susceptibility.
This formalism is applied to a series of illustrative examples showcasing the role of temperature, disorder, vibronic coupling, and optical saturation of the molecular ensemble.
arXiv Detail & Related papers (2023-10-24T00:41:20Z) - Breakdown of Linear Spin-Wave Theory in a Non-Hermitian Quantum Spin
Chain [0.0]
We present the spin-wave theory of the excitation spectrum and quench dynamics of the non-Hermitian transverse-field Ising model.
The complex excitation spectrum is obtained for a generic hypercubic lattice using the linear approximation of the Holstein-Primakoff transformation.
We show however that the linear spin-wave approximation breaks down and the bosonic theory is plagued by a divergence at finite times.
arXiv Detail & Related papers (2023-10-02T08:46:40Z) - Spectral features of polaronic excitations in a superconducting analog
simulator [0.0]
We investigate spectral properties of polaronic excitations within the framework of an analog quantum simulator.
The system emulates a lattice model that describes a nonlocal coupling of an itinerant spinless-fermion excitation to dispersionless (Einstein-type) phonons.
We show that -- based on the numerically evaluated spectral function and its well-known relation with the survival probability of the initial, bare-excitation Bloch state (the Loschmidt echo) -- one can make predictions about the system dynamics following an excitation-phonon interaction.
arXiv Detail & Related papers (2022-12-30T18:19:59Z) - On the Su-Schrieffer-Heeger model of electron transport: low-temperature
optical conductivity by the Mellin transform [62.997667081978825]
We describe the low-temperature optical conductivity as a function of frequency for a quantum-mechanical system of electrons that hop along a polymer chain.
Our goal is to show vias how the interband conductivity of this system behaves as the smallest energy bandgap tends to close.
arXiv Detail & Related papers (2022-09-26T23:17:39Z) - Calculating non-linear response functions for multi-dimensional
electronic spectroscopy using dyadic non-Markovian quantum state diffusion [68.8204255655161]
We present a methodology for simulating multi-dimensional electronic spectra of molecular aggregates with coupling electronic excitation to a structured environment.
A crucial aspect of our approach is that we propagate the NMQSD equation in a doubled system Hilbert space but with the same noise.
arXiv Detail & Related papers (2022-07-06T15:30:38Z) - Simulation of absorption spectra of molecular aggregates: a Hierarchy of
Stochastic Pure States approach [68.8204255655161]
hierarchy of pure states (HOPS) provides a formally exact solution based on local, trajectories.
Exploiting the localization of HOPS for the simulation of absorption spectra in large aggregares requires a formulation in terms of normalized trajectories.
arXiv Detail & Related papers (2021-11-01T16:59:54Z) - Fano Resonances in Quantum Transport with Vibrations [50.591267188664666]
Quantum mechanical scattering continuum states coupled to a scatterer with a discrete spectrum gives rise to Fano resonances.
We consider scatterers that possess internal vibrational degrees of freedom in addition to discrete states.
arXiv Detail & Related papers (2021-08-07T12:13:59Z) - Visualizing spinon Fermi surfaces with time-dependent spectroscopy [62.997667081978825]
We propose applying time-dependent photo-emission spectroscopy, an established tool in solid state systems, in cold atom quantum simulators.
We show in exact diagonalization simulations of the one-dimensional $t-J$ model that the spinons start to populate previously unoccupied states in an effective band structure.
The dependence of the spectral function on the time after the pump pulse reveals collective interactions among spinons.
arXiv Detail & Related papers (2021-05-27T18:00:02Z) - Entanglement-spectrum characterization of ground-state nonanalyticities
in coupled excitation-phonon models [0.0]
Small-polaron transitions are analyzed through the prism of the entanglement spectrum of the excitation-phonon system.
The behavior of the entanglement entropy in the vicinity of the critical excitation-phonon coupling strength chiefly originates from one specific entanglement-spectrum eigenvalue.
arXiv Detail & Related papers (2020-01-30T08:41:00Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.