diff --git a/_bibliography/papers.bib b/_bibliography/papers.bib index 9fb329b..bf1e3bd 100644 --- a/_bibliography/papers.bib +++ b/_bibliography/papers.bib @@ -1,5 +1,15 @@ --- --- +@article{villa2024topologicalclassificationdrivendissipativenonlinear, + title={Topological classification of driven-dissipative nonlinear systems}, + author={Greta Villa and Javier del Pino and Vincent Dumont and Gianluca Rastelli and Mateusz MichaƂek and Alexander Eichler and Oded Zilberberg}, + year={2024}, + eprint={2406.16591}, + archivePrefix={arXiv}, + primaryClass={cond-mat.mes-hall}, + url={https://arxiv.org/abs/2406.16591}, + abstract={In topology, one averages over local geometrical details to reveal robust global features. This approach proves crucial for understanding quantized bulk transport and exotic boundary effects of linear wave propagation in (meta-)materials. Moving beyond linear Hamiltonian systems, the study of topology in physics strives to characterize open (non-Hermitian) and interacting systems. Here, we establish a framework for the topological classification of driven-dissipative nonlinear systems. Specifically, we define a graph index for the Floquet semiclassical equations of motion describing such systems. The graph index builds upon topological vector analysis theory and combines knowledge of the particle-hole nature of fluctuations around each out-of-equilibrium stationary state. To test this approach, we divulge the topological invariants arising in a micro-electromechanical nonlinear resonator subject to forcing and a time-modulated potential. Our framework classifies the complete phase diagram of the system and reveals the topological origin of driven-dissipative phase transitions, as well as that of under- to over-damped responses. Furthermore, we predict topological phase transitions between symmetry-broken phases that pertain to population inversion transitions. This rich manifesting phenomenology reveals the pervasive link between topology and nonlinear dynamics, with broad implications for all fields of science.} +} @article{visani2023nearresonant, title={Near-resonant nuclear spin detection with high-frequency mechanical resonators}, author={Diego A. Visani and Letizia Catalini and Christian L. Degen and Alexander Eichler and Javier del Pino}, @@ -43,13 +53,19 @@ @article{wanjura2023quadrature abbr = {NatPhys} } @article{alvarez2023biased, - title = {A biased Ising model using two coupled Kerr parametric oscillators with external force}, - author = {{\'A}lvarez, Pablo and Pittilini, Davide and Miserocchi, Filippo and Raamamurthy, Sathyanarayanan and Margiani, Gabriel and Ameye, Orjan and del Pino, Javier and Zilberberg, Oded and Eichler, Alexander}, - year = 2023, - journal = {arXiv preprint arXiv:2307.13676}, - bibtex_show = {true}, - abbr = {in review}, - abstract = {Networks of coupled Kerr parametric oscillators (KPOs) are a leading physical platform for analog solving of complex optimization problems. These systems are colloquially known as ``Ising machines''. We experimentally and theoretically study such a network under the influence of an external force. The force breaks the collective phase-parity symmetry of the system and competes with the intrinsic coupling in ordering the network configuration, similar to how a magnetic field biases an interacting spin ensemble. Specifically, we demonstrate how the force can be used to control the system, and highlight the crucial role of the phase and symmetry of the force. Our work thereby provides a method to create Ising machines with arbitrary bias, extending even to exotic cases that are impossible to engineer in real spin systems.} + title = {Biased Ising Model Using Two Coupled Kerr Parametric Oscillators with External Force}, + author = {\'Alvarez, Pablo and Pittilini, Davide and Miserocchi, Filippo and Raamamurthy, Sathyanarayanan and Margiani, Gabriel and Ameye, Orjan and del Pino, Javier and Zilberberg, Oded and Eichler, Alexander}, + journal = {Phys. Rev. Lett.}, + volume = {132}, + issue = {20}, + pages = {207401}, + numpages = {7}, + year = {2024}, + month = {May}, + publisher = {American Physical Society}, + doi = {10.1103/PhysRevLett.132.207401}, + abbr = {PRL}, + url = {https://link.aps.org/doi/10.1103/PhysRevLett.132.207401} } @article{del2023limit, title = {Limit cycles as stationary states of an extended Harmonic Balance ansatz},