Physics

Cal Poly Physicist and Undergraduate Co-Author Show That Smoothly Flipping a Magnetic Field Can Conjure Exotic Quantum States That Have No Equilibrium Counterpart

Stephen Powell and senior Louis Buchalter's 'Flux-Switching Floquet Engineering' paper in Physical Review B lays out a simple recipe for steering ordinary lattices into topological phases that may underpin future fault-tolerant quantum computers.

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Cal Poly Physicist and Undergraduate Co-Author Show That Smoothly Flipping a Magnetic Field Can Conjure Exotic Quantum States That Have No Equilibrium Counterpart

Physicists at California Polytechnic State University have shown theoretically — and corroborated through detailed numerical simulations — that smoothly varying a magnetic field over time can drive ordinary materials into exotic quantum phases that have no static-equilibrium counterpart, opening a new pathway to engineering bizarre quantum states that may prove far more robust against the errors that plague modern quantum computers. The result, published in Physical Review B under the title 'Flux-Switching Floquet Engineering,' is the latest contribution to a fast-growing subfield in which physicists treat time itself as a control knob for synthesizing matter to specification.

The basic idea exploits a piece of mathematics that physicists have known about for more than a century but only recently learned how to harness experimentally. When a quantum system is driven periodically — by an oscillating laser, a rotating magnetic field or a rapidly switching electric current — its dynamics are governed not by the instantaneous Hamiltonian but by a stroboscopic 'Floquet' Hamiltonian that can have wildly different properties from the system at rest. The Cal Poly team, comprising physicist Stephen Powell and undergraduate student researcher Louis Buchalter, showed that by alternating the direction of a magnetic flux threaded through a two-dimensional lattice on a microsecond timescale, the system can be coaxed into so-called topological phases of matter — quantum states with protected edge currents that resist the kinds of local perturbations that normally destroy delicate quantum information.

Unusually for a peer-reviewed Physical Review B paper, the work was led by an undergraduate. Buchalter, a senior at Cal Poly, performed the bulk of the analytical and numerical calculations as part of a year-long research project before transitioning the work to graduate study. Powell, his faculty mentor, said the team intentionally chose a model — a tight-binding electron Hamiltonian on a kagome lattice — that is realizable in cold-atom platforms already operating at the National Institute of Standards and Technology and at the Joint Quantum Institute at the University of Maryland. The predicted phases include a driven analogue of the fractional Chern insulator, a state of matter that has become a holy grail of quantum-condensed-matter research because of its potential as a substrate for fault-tolerant topological quantum computing.

What makes the result particularly striking is the simplicity of the prescription. Where most schemes for engineering exotic quantum matter require precisely tuned laser arrays or complex multi-pulse protocols, the Cal Poly flux-switching scheme requires only a single time-varying magnetic field — a control parameter that is already routine in optical-lattice and superconducting-circuit experiments. That accessibility could shorten the path from theory to laboratory demonstration. Experimentalists at MIT's Center for Ultracold Atoms told reporters this week that they intend to test the proposal on their rubidium-87 honeycomb lattice apparatus within the next twelve months.

The broader research program — sometimes called Floquet engineering — is becoming a central pillar of modern quantum science. In just the past three weeks, physicists at Oxford reported the first observation of a fourth-order squeezing interaction using non-commuting drive sequences, and a group at Aalto University connected a self-oscillating time crystal to an external mechanical device for the first time. Together with the Cal Poly result, the cluster of breakthroughs suggests that the boundary between matter that simply exists and matter that is actively crafted by carefully timed external drives is beginning to blur — and that the next generation of quantum technologies may be engineered as much in the time domain as in space.

Originally reported by ScienceDaily.

Floquet engineering Cal Poly topological matter quantum computing Physical Review B Floquet