Physics

Research areas, publications, and talks — the complete academic oeuvre.

What I work on

🎛️

Quantum Control

Designing laser fields and control protocols to steer quantum systems toward desired behaviours — from mimicking materials to suppressing optical responses.

🌊

Open Quantum Systems

Exact stochastic methods and influence functionals for systems interacting with complex environments. My PhD focus and an enduring interest.

🧠

Reservoir Computing

Quantum and photonic reservoir architectures — minimal designs with maximal expressivity, exploring where quantum advantage actually resides.

〰️

Superoscillations

Band-limited waves oscillating faster than their fastest component — applied to spectroscopy, sensing, and Bose-Einstein condensate confinement.

🔄

Koopman Methods

Hilbert-space representations of classical mechanics — unitary transformations, wave operators, and the deep parallels between classical and quantum dynamics.

Non-Linear Optics

Non-uniqueness of driving fields, optical indistinguishability, and the engineering of optical responses in strongly interacting systems.

Papers & Preprints

2026
G. McCaul et al.
Preprint — arXiv:2602.13146
What the environment knows about your system, and how to make it confess. Derives the mean-force Hamiltonian directly from the influence functional — a cleaner account of what the bath has been doing to you all along.
2025
G. McCaul
Preprint — arXiv:2509.04618
There are no free lunches in complexity theory. This paper finds the complimentary buffet. Explores how certain quantum systems offer computational shortcuts that classical intuition insists shouldn't be there.
G. McCaul et al.
Chaos 35(9), 2025
It turns out you do not need much of a quantum computer to compute quantumly. A considerable relief to everyone's grant applications. Shows that small, carefully encoded reservoirs punch well above their Hilbert space weight.
Unwrapping photonic reservoirs: Enhanced expressivity via random Fourier encoding over stretched domains
G. McCaul, G. Tripathy, G. Marcucci, J. S. Totero Gongora
Chaos 35(9), 2025
More expressivity squeezed from a photonic reservoir via the elegant application of slightly more mathematics. The word "unwrapping" is doing real work in the title.
D. R. Lindberg, G. McCaul, P. Peng, L. Kaplan, D. Talbayev, D. I. Bondar
Low Temperature Physics 51, 1471–1477, 2025
Cramming a Bose-Einstein condensate into a space smaller than the wavelength of the light used to trap it. Remarkably tight parking, even by the standards of quantum optics.
D. I. Bondar, G. McCaul, A. Sotnikov
Textbook — arXiv:2509.20403
A textbook. The authors are aware of how this looks. Written with the conviction that the best pedagogical texts are the ones that admit when something is genuinely strange.
2024
J. M. Leamer, A. B. Magann, D. I. Bondar, G. McCaul
Preprint — arXiv:2403.03350
Simulating imaginary time evolution on a quantum computer. A clever piece of accountancy that allows unitary devices to emulate non-unitary dynamics, provided you are willing to evolve things forwards and backwards. Useful for when your quantum computer refuses to break the rules.
P. Peng, D. R. Lindberg, G. McCaul, D. I. Bondar, D. Talbayev
Preprint — arXiv:2306.12665
A hundred-fold improvement in spectroscopic contrast. The press release writes itself; we resisted. The mechanism is superoscillation — making waves do things that the Fourier transform would prefer they didn't.
2023
G. McCaul, P. Peng, M. O. Martinez, D. R. Lindberg, D. Talbayev, D. I. Bondar
Physical Review Letters 131, 153803 PRL
A band-limited wave can oscillate faster than its fastest Fourier component. We made this useful. Proof that physics occasionally rewards those who insist on doing what is formally impossible.
G. McCaul, D. V. Zhdanov, D. I. Bondar
Physical Review A 108, 052208
Quantum mechanics and classical mechanics share more furniture than you would think. This paper draws the floor plan — a unified operator framework that makes the analogy precise and, on a good day, useful.
G. McCaul, K. Jacobs, D. I. Bondar
European Physical Journal Plus 138, 123
An argument that a single atom, correctly interrogated via high-harmonic generation, is a computer. Impractical. Energetically dubious. Correct. The kind of paper that exists to prove a point about what the universe permits.
J. Masur, D. I. Bondar, G. McCaul
Preprint — arXiv:2301.12069
Making a material electromagnetically near-invisible, without touching the material. Epsilon-near-zero behaviour engineered entirely through feedback control. The conjuror's version of materials science.
2022
G. McCaul, A. F. King, D. I. Bondar
Annalen der Physik 534, 2100523
Turns out there are many ways to skin a photon. Different laser fields can produce identical optical responses — which is either a headache for experimentalists or an opportunity for theorists. We chose the latter framing.
J. Masur, D. I. Bondar, G. McCaul
Physical Review A 106, 013110
An identity parade for strongly correlated materials. Can light tell a Mott insulator from its neighbours, and does it matter whether you ask in the time or frequency domain? Mostly yes, and yes.
A. B. Magann, G. McCaul, H. A. Rabitz, D. I. Bondar
Quantum 6, 626
Characterising a chemical mixture by selectively silencing its components — one at a time, in sequence. A very polite form of interrogation. Works by making each constituent optically invisible until only the one you want can be heard.
G. McCaul, D. I. Bondar
Journal of Physics A 55, 434003
The free particle and the harmonic oscillator are, in a meaningful sense, the same system wearing different hats. This paper documents the wardrobe. Extends to the Koopman setting, where classical mechanics gets the same treatment.
2021
G. McCaul, A. F. King, D. I. Bondar
Physical Review Letters 127, 113201 PRL
Two entirely different materials, made to look identical to every optical measurement you can perform. A physics magic trick — the mechanism is real, the implications for spectroscopy are uncomfortable, and the result is PRL.
G. McCaul, K. Jacobs, D. I. Bondar
Physical Review Research 3, 013017
A rank truncation scheme for simulating open quantum systems. Faster. Less exact. Entirely honest about that trade-off in the abstract, which is more than can be said for most approximations in the literature.
G. McCaul, D. I. Bondar
European Physical Journal Special Topics 230, 733–754
A title that has done more editorial work than any abstract I have written. The paper itself derives stochastic equations from deterministic dynamics. The title got us into the journal. I stand by both.
G. McCaul, A. Mershin, D. I. Bondar
Physics of Fluids 33, 031801
On whether simple diffusion can explain olfaction. It cannot — the nose is a more mysterious instrument than that. One a of a small number of my publications to have generated genuine dinner-table conversation.
A. J. Schimmoller, G. McCaul, H. Abele, D. I. Bondar
Physical Review Research 3, 033065
A proposal to test whether gravity is fundamentally quantum mechanical — engineered so that quantum decoherence cannot muddy the result. Gravity, it turns out, is already under enough suspicion without giving it alibis.
2020
G. McCaul, C. Orthodoxou, K. Jacobs, G. H. Booth, D. I. Bondar
Physical Review Letters 124, 183201 PRL
Turning water into wine — demonstrating that laser pulses can force one quantum material to impersonate another with perfect fidelity. The Bible describes the miracle; this paper explains the mechanism. First runner-up in the competition for most satisfying result of my career so far.
G. McCaul, C. Orthodoxou, K. Jacobs, G. H. Booth, D. I. Bondar
Physical Review A 101, 053408
The full theoretical machinery behind Driven Imposters — the technical rider to the conjuring trick. If the PRL was the headline act, this is the tour bus, the crew, and everything that made the thing work.
2019
G. McCaul, A. Pechen, D. I. Bondar
Physical Review E 99, 062121
The second law of thermodynamics is famously robust. The boundary conditions of Hamiltonian mechanics are, it transpires, less so. A careful look at the seams of classical statistical mechanics.
G. McCaul
PhD Thesis — King's College London
The magnum opus of a graduate student. Several hundred pages on exact stochastic methods for open quantum systems. Approximately one person has read it cover to cover; that person was a referee, and I am grateful for their fortitude.
2018
G. McCaul, C. D. Lorenz, L. Kantorovich
Physical Review B 97, 224310
The second paper. Things were still relatively tidy; the abstracts had not yet developed opinions about themselves. A rigorous treatment of driven spin-boson dynamics that set the tone for most of what followed.
2017
G. McCaul, C. D. Lorenz, L. Kantorovich
Physical Review B 95, 125124
Where it all began. The first paper — on exact stochastic equations for open quantum systems without the usual approximation-before-you-start. Read with appropriate historical sympathy; the author was twenty-four and had not yet developed strong feelings about boundary conditions.

Selected Presentations

Free Snacks in Quantum Complexity

Chapman Institute of Quantum Studies (IQS Seminar)
Oct 2025

Computation as Dynamics

Aalto Summer School: New Directions in Quantum & Quantum Reservoir Computing
Aug 2025

Quantum Dynamical Emulation

Kharkiv Quantum Seminar
▶ Watch recording
Feb 2025

"Linear algebra ruined your life"

Pint of Science
May 2025

Generating thermal states in quantum circuits

Frontiers of Quantum and Mesoscopic Thermodynamics
Jul 2024

Superoscillations Deliver Superspectroscopy

Superoscillations in Cetraro III
Jun 2024

Superoscillations and Non-Linear Optical Response

IQST Early Career Researchers Retreat
May 2024

Malleable Light: From Single Atom Computing to Superspectroscopy

Ohio State University Institute for Optical Science
▶ Watch recording
Nov 2023