Publications (41)
The particle in a box in PT quantum mechanics and an electromagnetic analog
Anirudh Dasarthy, Joshua P. Isaacson, Katherine Jones-Smith +2
In PT quantum mechanics a fundamental principle of quantum mechanics, that the Hamiltonian must be hermitian, is replaced by another set of requirements, including notably symmetry…
Vibrational Spectrum of Granular Packings With Random Matrices
Onuttom Narayan, Harsh Mathur
The vibrational spectrum of granular packings can be used as a signature of the jamming transition, with the density of states at zero frequency becoming non-zero at the transition…
An Electrostatic Analogy for Symmetron Gravity
Lillie Ogden, Katherine Jones-Smith, Harsh Mathur +1
The symmetron model is a scalar-tensor theory of gravity with a screening mechanism that suppresses the effect of the symmetron field at high densities characteristic of the solar…
Implications of Broken Symmetry for Superhorizon Conservation Theorems in Cosmology
Katherine Jones-Smith, Lawrence M. Krauss, Harsh Mathur
Inflation produces super-horizon sized perturbations that ultimately return within the horizon and are thought to form the seeds of all observed large scale structure in the Univer…
The Radial Acceleration Relation and a Magnetostatic Analogy in Quasilinear MOND
Katherine Jones-Smith, Roshan Abraham, Leo Kell +1
Recently a remarkable relation has been demonstrated between the observed radial acceleration in disk galaxies and the acceleration predicted on the basis of baryonic matter alone.…
Clustering analysis of Ca {\sc i} 4227 line polarization using magnetohydrodynamic simulations of the solar atmosphere
Harsh Mathur, L. S. Anusha, Devang Agnihotri
Ca {\sc i} 4227 Ã \, line is a strong resonance line formed in the Solar chromosphere. At the limb, it produces the largest scattering polarization signal. So far, modeling the lin…
Contact interactions and Kronig-Penney Models in Hermitian and PT-symmetric Quantum Mechanics
Foster Thompson, Katherine Jones-Smith, Harsh Mathur +1
The delta function potential is a simple model of zero-range contact interaction in one dimension. The Kronig-Penney model is a one-dimensional periodic array of delta functions th…
Probing the Gravitational Wave Signature from Cosmic Phase Transitions at Different Scales
Lawrence M. Krauss, Katherine Jones-Smith, Harsh Mathur +1
We present a new signature by which to one could potentially discriminate between a spectrum of gravitational radiation generated by a self-ordering scalar field vs that of inflati…
Evading Anderson localization in a one-dimensional conductor with correlated disorder
Onuttom Narayan, Harsh Mathur, Richard Montgomery
We show that a one dimensional disordered conductor with correlated disorder has an extended state and a Landauer resistance that is non-zero in the limit of infinite system size i…
Zero modes on cosmic strings in an external magnetic field
Francesc Ferrer, Harsh Mathur, Tanmay Vachaspati +1
A classical analysis suggests that an external magnetic field can cause trajectories of charge carriers on a superconducting domain wall or cosmic string to bend, thus expelling ch…
Non-exponential tunneling and control of microwave absorption lineshapes via Fano resonance for electrons on Helium
Solomon Duki, Harsh Mathur
We consider the application of a small in-plane magnetic field to electrons on a helium surface in a perpendicular magnetic field. Certain states that were bound to the helium surf…
A Solvable Regime of Disorder and Interactions in Ballistic Nanostructures, Part I: Consequences for Coulomb Blockade
Ganpathy Murthy, R. Shankar, Damir Herman +1
We provide a framework for analyzing the problem of interacting electrons in a ballistic quantum dot with chaotic boundary conditions within an energy (the Thouless energy) o…
Simultaneous spectropolarimetric observations in the H and Ca II 8662 Ã lines of an active region
Harsh Mathur, K. Nagaraju, Rahul Yadav +1
We present spectropolarimetric observations of an active region recorded simultaneously in the H Ca II 8662 Ã lines. The sunspot exhibits multiple structures, including a light…
CMBPol Mission Concept Study: Probing Inflation with CMB Polarization
Daniel Baumann, Mark G. Jackson, Peter Adshead +56
We summarize the utility of precise cosmic microwave background (CMB) polarization measurements as probes of the physics of inflation. We focus on the prospects for using CMB measu…
A New Class of non-Hermitian Quantum Hamiltonians with PT Symmetry
Katherine Jones-Smith, Harsh Mathur
In a remarkable development Bender and coworkers have shown that it is possible to formulate quantum mechanics consistently even if the Hamiltonian and other observables are not He…
Reply to Comment on "Drip Paintings and Fractal Analysis" by Micolich et al (arXiv:0712.165v1 [cond-mat.stat-mech])
Katherine Jones-Smith, Harsh Mathur, Lawrence M. Krauss
We reply to the comment of Micolich et al and demonstrate that their criticisms are unfounded. In particular we provide a detailed discussion of our box-counting algorithm and of t…
Drip Paintings and Fractal Analysis
Katherine Jones-Smith, Harsh Mathur, Lawrence M. Krauss
It has been claimed [1-6] that fractal analysis can be applied to unambiguously characterize works of art such as the drip paintings of Jackson Pollock. This academic issue has bec…
Relativistic Non-Hermitian Quantum Mechanics
Katherine Jones-Smith, Harsh Mathur
We develop relativistic wave equations in the framework of the new non-hermitian quantum mechanics. The familiar Hermitian Dirac equation emerges as an exact result of…
Correlations and critical behavior of the q-model
Alexander V. St. John, Harsh Mathur
The q-model is a random walk model used to describe the flow of stress in a stationary granular medium. Here we derive the exact horizontal and vertical correlation functions for t…
Solar Mean Magnetic Field of the Chromosphere
M. Vishnu, K. Nagaraju, Harsh Mathur
The Solar Mean Magnetic Field (SMMF) is the mean value of the line of sight (LOS) component of the solar vector magnetic field averaged over the visible hemisphere of the Sun. So f…
Single Shot Spectroscopic Design Aspects
Harsh Mathur
High time cadence Spectro Polarimetry allows the feasibility of studying magnetic field evolution coupled with the plasma flows. Such a high cadence solar spectropolarimetry if dev…
Exploring extra dimensions with scalar waves
Katherine Jones-Smith, Harsh Mathur, Michael Verostek
This paper provides a pedagogical introduction to the physics of extra dimensions focussing on the ADD, Randall-Sundrum and DGP models. In each of these models, the familiar partic…
Aharonov-Bohm Radiation
Katherine Jones-Smith, Harsh Mathur, Tanmay Vachaspati
A solenoid oscillating in vacuum will pair produce charged particles due to the Aharonov-Bohm (AB) interaction. We calculate the radiation pattern and power emitted for charged sca…
Diamagnetic Persistent Currents and Spontaneous Time-Reversal Symmetry Breaking in Mesoscopic Structures
Damir Herman, Harsh Mathur, Ganpathy Murthy
Recently, new strongly interacting phases have been uncovered in mesoscopic systems with chaotic scattering at the boundaries by two of the present authors and R. Shankar. This ana…
Revisiting Pollock's Drip Paintings
Katherine Jones-Smith, Harsh Mathur
We investigate the contentions that Jackson Pollock's drip paintings are fractals produced by the artist's Levy distributed motion and that fractal analysis may be used to authenti…
The H line as a probe of chromospheric magnetic fields
Harsh Mathur, Jayant Joshi, Thore Espedal Moe +2
We explore the diagnostic potential of the H line for probing the chromospheric magnetic field using a realistic 3D radiative magnetohydrodynamic (rMHD) model. The Stokes profi…
Killing the Straw Man: Does BICEP Prove Inflation at the GUT Scale?
James B. Dent, Lawrence M. Krauss, Harsh Mathur
The surprisingly large value of , the ratio of power in tensor to scalar density perturbations in the CMB reported by the BICEP2 Collaboration, if confirmed, provides strong evi…
Topological Modes in One Dimensional Solids and Photonic Crystals
Timothy J. Atherton, Celia A. M. Butler, Melita C. Taylor +4
It is shown theoretically that a one-dimensional crystal with time reversal symmetry is characterized by a Z_{2} topological invariant that predicts the existence or otherwise of e…
Interactions and Disorder in Quantum Dots: Instabilities and Phase Transitions
Ganpathy Murthy, Harsh Mathur
Using a fermionic renormalization group approach we analyse a model where the electrons diffusing on a quantum dot interact via Fermi-liquid interactions. Describing the single-par…
A Nearly Scale Invariant Spectrum of Gravitational Radiation from Global Phase Transitions
Katherine Jones-Smith, Lawrence M. Krauss, Harsh Mathur
Using a large N sigma model approximation we explicitly calculate the power spectrum of gravitational waves arising from a global phase transition in the early universe and we conf…
The Effect of Forcing on Vacuum Radiation
Katherine Jones-Smith, Harsh Mathur, Ashton Lowenstein
Vacuum radiation has been the subject of theoretical study in both cosmology and condensed matter physics for many decades. Recently there has been impressive progress in experimen…
Does H Stokes~ profiles probe the chromospheric magnetic field? An observational perspective
Harsh Mathur, K. Nagaraju, Jayant Joshi +1
We investigated the diagnostic potential of the Stokes profile of the H line to probe the chromospheric line-of-sight (LOS) magnetic field () by comparing…
Aharonov-Bohm Radiation of Fermions
Yi-Zen Chu, Harsh Mathur, Tanmay Vachaspati
We analyze Aharonov-Bohm radiation of charged fermions from oscillating solenoids and cosmic strings. We find that the angular pattern of the radiation has features that differ sig…
Modified Newtonian Dynamics as an Alternative to the Planet Nine Hypothesis
Katherine Jones-Smith, Harsh Mathur
A new class of Kuiper belt objects that lie beyond Neptune with semimajor axes greater than 250 astronomical units show orbital anomalies that have been interpreted as evidence for…
Properties of shock waves in the quiet Sun chromosphere
Harsh Mathur, Jayant Joshi, K. Nagaraju +2
Short-lived (100s or less), sub-arcsec to a couple of arcsec size features of enhanced brightenings in the narrowband images at the and position…
Observing the Evolution of the Universe
James Aguirre, Alexandre Amblard, Amjad Ashoorioon +172
How did the universe evolve? The fine angular scale (l>1000) temperature and polarization anisotropies in the CMB are a Rosetta stone for understanding the evolution of the univers…
Ballistic Quantum Dots with Disorder and Interactions: A numerical study on the Robnik-Berry billiard
Ganpathy Murthy, R. Shankar, Harsh Mathur
In previous work we have found a regime in ballistic quantum dots where interelectron interactions can be treated asymptotically exactly as the Thouless number of the dot becom…
Influence of a Mesoscopic Bath on Quantum Coherence
Onuttom Narayan, Harsh Mathur
For a quantum double well system interacting with a mesoscopic bath, it is shown that a single particle in the bath is sufficient to substantially reduce tunneling between the two…
An analysis of the LIGO discovery based on Introductory Physics
Harsh Mathur, Katherine Jones-Smith, Ashton Lowenstein
Binary black hole mergers are analyzed using concepts from introductory physics. Drawing upon Newtonian mechanics, dimensional considerations, and analogies between gravitational a…
Quantized Non-Abelian Monopoles on S^3
Irit Maor, Harsh Mathur, Tanmay Vachaspati
A possible electric-magnetic duality suggests that the confinement of non-Abelian electric charges manifests itself as a perturbative quantum effect for the dual magnetic charges.…
Symmetry breaking, strain solitons and mechanical edge modes in monolayer antimony
Joshua Chiel, Harsh Mathur, Onuttom Narayan
Two-dimensional materials exhibit a variety of mechanical instabilities accompanied by spontaneous symmetry breaking. Here we develop a continuum description of the buckling instab…