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9 papers · 2 filters
Circuit complexity and functionality: a thermodynamic perspective
Claudio Chamon, Andrei E. Ruckenstein, Eduardo R. Mucciolo +1
Circuit complexity, defined as the minimum circuit size required for implementing a particular Boolean computation, is a foundational concept in computer science. Determining circu…
Supercluster states and phase transitions in aggregation-fragmentation processes
Wendy Otieno, Nikolai V. Brilliantov, P. L. Krapivsky
We study the evolution of aggregates triggered by collisions with monomers that either lead to the attachment of monomers or the break-up of aggregates into constituting monomers.…
Integrability as an attractor of adiabatic flows
Hyeongjin Kim, Anatoli Polkovnikov
The interplay between quantum chaos and integrability has been extensively studied in the past decades. We approach this topic from the point of view of geometry encoded in the qua…
Finite Size Effects in Addition and Chipping Processes
Roman R. Dyachenko, Sergey A. Matveev, P. L. Krapivsky
We investigate analytically and numerically a system of clusters evolving via collisions with clusters of minimal mass (monomers). Each collision either leads to the addition of th…
Steady oscillations in aggregation-fragmentation processes
N. V. Brilliantov, W. Otieno, S. A. Matveev +3
We report surprising steady oscillations in aggregation-fragmentation processes. Oscillating solutions are observed for the class of aggregation kernels …
Prethermal stability of eigenstates under high frequency Floquet driving
Nicholas O'Dea, Fiona Burnell, Anushya Chandran +1
Systems subject to high-frequency driving exhibit Floquet prethermalization, that is, they heat exponentially slowly on a time scale that is large in the drive frequency, $τ_{\rm h…