activity
19972020
most citedTime Evolution of Complexity: A Critique of Three Methods

124 citations · 714 across the 21 of their papers we have counts for

collaborators

21 papers

hep-th2020★ 39 cited

Complexity from the Reduced Density Matrix: a new Diagnostic for Chaos

Arpan Bhattacharyya, S. Shajidul Haque, Eugene H. Kim

We investigate circuit complexity to characterize chaos in multiparticle quantum systems. In the process, we take a stride to analyze open quantum systems by using complexity. We p…

hep-th2019★ 114 cited

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…

hep-th2018★ 53 cited

Post-Quench Evolution of Complexity and Entanglement in a Topological System

Tibra Ali, Arpan Bhattacharyya, S. Shajidul Haque +2

We investigate the evolution of complexity and entanglement following a quench in a one-dimensional topological system, namely the Su-Schrieffer-Heeger model. We demonstrate that c…

hep-th2018★ 124 cited

Time Evolution of Complexity: A Critique of Three Methods

Tibra Ali, Arpan Bhattacharyya, S. Shajidul Haque +2

In this work, we propose a testing procedure to distinguish between the different approaches for computing complexity. Our test does not require a direct comparison between the app…

cond-mat.str-el2012★ 8 cited

Quantum manipulation via atomic-scale magnetoelectric effects

Anh. T. Ngo, J. Rodriguez-Laguna, S. E. Ulloa +1

Magnetoelectric effects at the atomic scale are demonstrated to afford unique functionality. This is shown explicitly for a quantum corral defined by a wall of magnetic atoms depos…

cond-mat.mes-hall2011★ 7 cited

Spatial correlations in chaotic nanoscale systems with spin-orbit coupling

Anh T. Ngo, Eugene H. Kim, Sergio E. Ulloa

We investigate the statistical properties of wave functions in chaotic nanostructures with spin-orbit coupling (SOC), focussing in particular on spatial correlations of eigenfuncti…