64 citations · 178 across the 22 of their papers we have counts for
24 papers
Krylov Complexity and Entropy of Composite Quantum Systems
Jeff Murugan, Victor Van Aswegen, Hendrik J R Van Zyl
We investigate the behaviour of Krylov complexity as the number of degrees of freedom of a quantum system increases. Specifically, we show that for tensor products of commuting sub…
Spectral Topology and Universal Krylov Dynamics
Jeff Murugan, Hendrik J. R. Van Zyl, Masataka Watanabe
The leading asymptotic growth of Lanczos coefficients is controlled by spectral tails and furnishes a coarse classification of Krylov dynamics. We show that the \textit{global topo…
On the Universality of Probe Complexity in SYM
Eric L. Graef, Jeff Murugan, Horatiu Nastase +1
We investigate Krylov complexity for single-trace operators dual to open strings attached to giant gravitons in planar super Yang-Mills theory. We show that in prot…
Krylov complexity from a simple quantum mechanical model for a radiating black hole
Eric L Graef, Jeff Murugan, Horatiu Nastase +1
We investigate Krylov complexity in a simple quantum mechanical model describing a black hole coupled to its radiation. The model is constructed as a simplified ``mini-BMN" matrix…
A Schwinger-Keldysh Formulation of Semiclassical Operator Dynamics
Jeff Murugan, Hendrik J. R. van Zyl
In this work we develop a real-time Schwinger-Keldysh formulation of Krylov dynamics that treats Krylov complexity as an in-in observable generated by a closed time contour path in…
A Quantum Computational Perspective on Spread Complexity
Cameron Beetar, Eric L Graef, Jeff Murugan +2
We establish a direct connection between spread complexity and quantum circuit complexity by demonstrating that spread complexity emerges as a limiting case of a circuit complexity…
Massive fields in AdS from Constructive Holography
Robert de Mello Koch, Pratik Roy, Hendrik J. R. Van Zyl
Collective field theory offers a constructive framework for exploring the AdS/CFT duality. In this article, we focus on constructing rotations within the light-front quantized coll…
Constructive Holography
Robert de Mello Koch, Hendrik J. R. Van Zyl
We consider the collective field theory description of the singlet sector of a free and massless matrix field in dimensions. The -local collective fields are functions of $(…
Holography of a single free matrix
Robert de Mello Koch, Pratik Roy, Hendrik J. R. Van Zyl
In this paper we consider the collective field theory description of a single free massless scalar matrix theory in 2+1 dimensions. The collective fields are given by -local ope…
Bilocal holography and locality in the bulk
Robert de Mello Koch, Garreth Kemp, Hendrik J. R. Van Zyl
Bilocal holography provides a constructive approach to the vector model/higher spin gravity duality. It has two ingredients: a change of field variables and a change of space time…
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…
A Study of the SYK Model with Twisted Boundary Conditions
Jeff Murugan, Ruach Pillay Slayen, Hendrik J. R. Van Zyl
We study a version of the 2-body Sachdev-Ye-Kitaev (SYK) model whose complex fermions exhibit twisted boundary conditions on the thermal circle. As we show, this is physicall…
Spread complexity as classical dilaton solutions
Arghya Chattopadhyay, Arpita Mitra, Hendrik J. R. van Zyl
We demonstrate a relation between Nielsen's approach towards circuit complexity and Krylov complexity through a particular construction of quantum state space geometry. We start by…
Krylov Complexity for Jacobi Coherent States
S. Shajidul Haque, Jeff Murugan, Mpho Tladi +1
We develop computational tools necessary to extend the application of Krylov complexity beyond the simple Hamiltonian systems considered thus far in the literature. As a first step…
Complexity for superconformal primaries from BCH techniques
Phumudzo Rabambi, Hendrik J. R. Van Zyl
We extend existing results for the Nielsen complexity of scalar primaries and spinning primaries in four dimensions by including supersymmetry. Specifically, we study the Nielsen c…
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…
Complexity from Spinning Primaries
Robert de Mello Koch, Minkyoo Kim, Hendrik J. R. Van Zyl
We define circuits given by unitary representations of Lorentzian conformal field theory in 3 and 4 dimensions. Our circuits start from a spinning primary state, allowing us to gen…
Quantum Error Correction and Holographic Information from Bilocal Holography
Robert de Mello Koch, Eunice Gandote, Nirina Hasina Tahiridimbisoa +1
Bilocal holography is a constructive approach to the higher spin theory holographically dual to vector models. In contrast to other approaches to bulk reconstruction, biloca…
Integrable Subsectors from Holography
Robert de Mello Koch, Minkyoo Kim, Hendrik J. R. Van Zyl
We consider operators in super Yang-Mills theory dual to closed string states propagating on a class of LLM geometries. The LLM geometries we consider are specified by…
From Spinning Primaries to Permutation Orbifolds
Robert de Mello Koch, Phumudzo Rabambi, Hendrik J. R. Van Zyl
We carry out a systematic study of primary operators in the conformal field theory of a free Weyl fermion. Using SO(4,2) characters we develop counting formulas for primaries const…
Inelastic Magnon Scattering
Robert de Mello Koch, Hendrik J. R. van Zyl
We study the worldsheet S-matrix of a string attached to a D-brane in AdSS. The D-brane is either a giant graviton or a dual giant graviton. In the gauge theory, the…
LLM Magnons
Robert de Mello Koch, Christopher Mathwin, Hendrik J. R. van Zyl
We consider excitations of LLM geometries described by coloring the LLM plane with concentric black rings. Certain closed string excitations are localized at the edges of these rin…
Duality constructions from quantum state manifolds
J. N. Kriel, H. J. R. van Zyl, F. G. Scholtz
The formalism of quantum state space geometry on manifolds of generalised coherent states is proposed as a natural setting for the construction of geometric dual descriptions of no…
Constructing Dualities from Quantum State Manifolds
H. J. R. van Zyl
The thesis develops a systematic procedure to construct semi-classical gravitational duals from quantum state manifolds. Though the systems investigated are simple quantum mechanic…