33 citations · 187 across the 25 of their papers we have counts for
25 papers
Observables in Motion: A guide to simulating classical and quantum dynamics
Denys I. Bondar, Gerard McCaul, Andrii Sotnikov
We present a pedagogical work-in-progress. This textbook aims to introduce Hilbert space representations for quantum and classical dynamics, outlining the mathematical foundations,…
Bose-Einstein condensate sub-wavelength confinement via superoscillations
Dusty R. Lindberg, Gerard McCaul, Peisong Peng +3
Optical lattices are essential tools in ultra-cold atomic physics. Here we demonstrate theoretically that sub-wavelength confinement can be achieved in these lattices through super…
Tuning the terahertz response of liquids by creating polar many-body excitations
Gerard McCaul, Matthias Runge, Michael Woerner +3
A surprising result from the theory of quantum control is the degree to which the properties of a physical system can be manipulated. Both atomic and many-body solid state models a…
Quantum Dynamical Emulation of Imaginary Time Evolution
Jacob M. Leamer, Alicia B. Magann, Denys I. Bondar +1
We introduce a constructive method for mapping non-unitary dynamics to a weighted set of unitary operations. We utilize this construction to derive a new correspondence between rea…
Super-sensing: 100-Fold enhancement in THz time-domain spectroscopy contrast via superoscillating waveform shaping
Peisong Peng, Dusty R. Lindberg, Gerard McCaul +2
Superoscillations are a phenomenon where a band-limited wave may locally oscillate faster than its highest Fourier component. They are a product of destructive interference between…
Spectral Gaps via Imaginary Time
Jacob M. Leamer, Alicia B. Magann, Gerard McCaul +1
The spectral gap occupies a role of central importance in many open problems in physics. We present an approach for evaluating the spectral gap of a Hamiltonian from a simple ratio…
The wave operator representation of quantum and classical dynamics
Gerard McCaul, Dmitry V. Zhdanov, Denys I. Bondar
The choice of mathematical representation when describing physical systems is of great consequence, and this choice is usually determined by the properties of the problem at hand.…
Dynamical Generation of Epsilon-Near-Zero Behaviour via Tracking and Feedback Control
Jacob Masur, Denys I. Bondar, Gerard McCaul
To date, epsilon near zero (ENZ) responses, characterized by an infinite phase velocity, are primarily achieved by applying a monochromatic light source to a tailored metamaterial.…
Ultrafast laser-driven dynamics in metal-insulator interface
Abdallah AlShafey, Gerard McCaul, Yuan-Ming Lu +6
The nearly free electron metal next to a localized Mott insulating state has been recently proposed as a way to probe Kondo lattice physics and to gain insight into how the two ext…
Free to Harmonic Unitary Transformations in Quantum and Koopman Dynamics
Gerard McCaul, Denys I. Bondar
It has long been known that there exists a coordinate transformation which exactly maps the quantum free particle to the quantum harmonic oscillator. Here we extend this result by…
Superoscillations Made Super Simple
Gerard McCaul, Peisong Peng, Monica Ortiz Matrinez +3
In ordinary circumstances the highest frequency present in a wave is the highest frequency in its Fourier decomposition. It is however possible for there to be a spatial or tempora…
Optical Distinguishability of Mott Insulators in Time vs Frequency Domain
Jacob Masur, Denys I. Bondar, Gerard McCaul
High Harmonic Generation (HHG) promises to provide insight into ultrafast dynamics and has been at the forefront of attosecond physics since its discovery. One class of materials t…
Non-Uniqueness of Non-Linear Optical Response
Gerard McCaul, Alexander F. King, Denys I. Bondar
In recent years, non-linear optical phenomena have attracted much attention, with a particular focus on the engineering and exploitation of non-linear responses. Comparatively litt…
Towards Single Atom Computing via High Harmonic Generation
Gerard McCaul, Kurt Jacobs, Denys I. Bondar
The development of alternative platforms for computing has been a longstanding goal for physics, and represents a particularly pressing concern as conventional transistors approach…
Optical Indistinguishability via Twinning Fields
Gerard McCaul, Alexander F. King, Denys I. Bondar
Here we introduce the concept of the twinning field -- a driving electromagnetic pulse that induces an identical optical response from two distinct materials. We show that for pair…
Diffusion Fails to Make a Stink
Gerard McCaul, Andreas Mershin, Denys I. Bondar
In this work we consider the question of whether a simple diffusive model can explain the scent tracking behaviours found in nature. For this behaviour to occur, both the concentra…
Decoherence-Free Entropic Gravity: Model and Experimental Tests
Alex J. Schimmoller, Gerard McCaul, Hartmut Abele +1
Erik Verlinde's theory of entropic gravity [arXiv:1001.0785], postulating that gravity is not a fundamental force but rather emerges thermodynamically, has garnered much attention…
Beating the House: Fast Simulation of Dissipative Quantum Systems with Ensemble Rank Truncation
Gerard McCaul, Kurt Jacobs, Denys I. Bondar
We introduce a new technique for the simulation of dissipative quantum systems. This method is composed of an approximate decomposition of the Lindblad equation into a Kraus map, f…
Sequential optical response suppression for chemical mixture characterization
Alicia B. Magann, Gerard McCaul, Herschel A. Rabitz +1
The characterization of mixtures of non-interacting, spectroscopically similar quantum components has important applications in chemistry, biology, and materials science. We introd…
Controlling Arbitrary Observables in Correlated Many-body Systems
Gerard McCaul, Christopher Orthodoxou, Kurt Jacobs +2
Here we present an expanded analysis of a model for the manipulation and control of observables in a strongly correlated, many-body system, which was first presented in [McCaul et…
Driven Imposters: Controlling Expectations in Many-Body Systems
Gerard McCaul, Christopher Orthodoxou, Kurt Jacobs +2
We present a framework to control and track the observables of a general solid state system driven by an incident laser field. The main result is a non-linear equation of motion fo…
How to Win Friends and Influence Functionals: Deducing Stochasticity From Deterministic Dynamics
Gerard McCaul, Denys I. Bondar
The longstanding question of how stochastic behaviour arises from deterministic Hamiltonian dynamics is of great importance, and any truly holistic theory must be capable of descri…
Entropy non-conservation and boundary conditions for Hamiltonian dynamical systems
Gerard McCaul, Alexander Pechen, Denys I. Bondar
Applying the theory of self-adjoint extensions of Hermitian operators to Koopman von Neumann classical mechanics, the most general set of probability distributions is found for whi…
Driving Spin-Boson Models From Equilibrium Using Exact Quantum Dynamics
G. M. G. McCaul, C. D. Lorenz, L. Kantorovich
We present an application of the Extended Stochastic Liouville Equation (ESLE) Phys. Rev. B 95, 125124, which gives an exact solution for the reduced density matrix of an open syst…