114 citations · 288 across the 9 of their papers we have counts for
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On Complexity and Duality
Jeff Murugan, Zayd Pandit, Hendrik J. R. van Zyl
We explore the relationship between complexity and duality in quantum systems, focusing on how local and non-local operators evolve under time evolution. We find that non-local ope…
Complexity and Operator Growth for Quantum Systems in Dynamic Equilibrium
Cameron Beetar, Nitin Gupta, S. Shajidul Haque +2
Krylov complexity is a measure of operator growth in quantum systems, based on the number of orthogonal basis vectors needed to approximate the time evolution of an operator. In th…
Krylov Complexity and Spectral Form Factor for Noisy Random Matrix Models
Arpan Bhattacharyya, S. Shajidul Haque, Ghadir Jafari +2
We study the spectral properties of two classes of random matrix models: non-Gaussian RMT with quartic and sextic potentials, and RMT with Gaussian noise. We compute and analyze th…
Spread Complexity and Topological Transitions in the Kitaev Chain
Pawel Caputa, Nitin Gupta, S. Shajidul Haque +3
A number of recent works have argued that quantum complexity, a well-known concept in computer science that has re-emerged recently in the context of the physics of black holes, ma…
Remarks on Fermions in a Dipole Magnetic Field
Jeff Murugan, Jonathan P. Shock, Ruach Pillay Slayen
This work is a continuation of our recent study of non-relativistic charged particles, confined to a sphere enclosing a magnetic dipole at its center. In this sequel, we extend our…
The Multi-faceted Inverted Harmonic Oscillator: Chaos and Complexity
Arpan Bhattacharyya, Wissam Chemissany, S. Shajidul Haque +2
The harmonic oscillator is the paragon of physical models; conceptually and computationally simple, yet rich enough to teach us about physics on scales that span classical mechanic…
Chaos and Complexity in Quantum Mechanics
Tibra Ali, Arpan Bhattacharyya, S. Shajidul Haque +3
We propose a new diagnostic for quantum chaos. We show that time evolution of complexity for a particular type of target state can provide equivalent information about the classica…
Astrophysical Quantum Matter: Spinless charged particles on a magnetic dipole sphere
Jeff Murugan, Jonathan P. Shock, Ruach Pillay Slayen
We consider the quantum mechanics of a spinless charged particle on a 2-dimensional sphere. When threaded with a magnetic monopole field, this is the well-known Haldane sphere that…
Holographic Entanglement Entropy for Gravitational Anomaly in Four Dimensions
Tibra Ali, S. Shajidul Haque, Jeff Murugan
We compute the holographic entanglement entropy for the anomaly polynomial in 3+1 dimensions. Using the perturbative method developed for computing entanglement e…