58 citations · 113 across the 7 of their papers we have counts for
8 papers
Determining the Number of Symmetry Sectors in Composite Quantum Spectra
Nisarg Vyas, S. Harshini Tekur, M. S. Santhanam
The spectral fluctuations in complex quantum systems are modeled in terms of spectra from random matrices. Quantitative agreement with random matrices holds only when the quantum s…
Probing the localization effects in Krylov basis
J. Bharathi Kannan, Sreeram PG, Sanku Paul +2
Krylov complexity (K-complexity) is a measure of quantum state complexity that minimizes wavefunction spreading across all the possible bases. It serves as a key indicator of opera…
Assessment of spectral phases of non-Hermitian quantum systems through complex and singular values
Mahaveer Prasad, S. Harshini Tekur, Bijay Kumar Agarwalla +1
Chaotic behavior or lack thereof in non-Hermitian systems is often diagnosed via spectral analysis of associated complex eigenvalues. Very recently, singular values of the associat…
Higher-order gap ratios of singular values in open quantum systems
S. Harshini Tekur, M. S. Santhanam, Bijay Kumar Agarwalla +1
Understanding open quantum systems using information encoded in its complex eigenvalues has been a subject of growing interest. In this paper, we study higher-order gap ratios of t…
Dichotomy in the effect of chaos on ergotropy
Sreeram PG, J. Bharathi Kannan, S. Harshini Tekur +1
The maximum unitarily extractable work from a quantum system -- ergotropy -- is the basic principle behind quantum batteries, a rapidly emerging field. This work studies ergotropy…
Scaling in the eigenvalue fluctuations of the empirical correlation matrices
Udaysinh T. Bhosale, S. Harshini Tekur, M. S. Santhanam
The spectra of empirical correlation matrices, constructed from multivariate data, are widely used in many areas of sciences, engineering and social sciences as a tool to understan…
Higher order spacing ratios in random matrix theory and complex quantum systems
S. Harshini Tekur, Udaysinh T. Bhosale, M. S. Santhanam
The distribution of the ratios of nearest neighbor level spacings has become a popular indicator of spectral fluctuations in complex quantum systems like interacting many-body loca…
Exact distribution of spacing ratios for random and localized states in quantum chaotic systems
S. Harshini Tekur, Santosh Kumar, M. S. Santhanam
Typical eigenstates of quantum systems, whose classical limit is chaotic, are well approximated as random states. Corresponding eigenvalue spectra is modeled through appropriate en…