Publications (70)
Invariant measures for half-space geometric LPP: classification and the one force--one solution principle
Sayan Das, Evan Sorensen, Zongrui Yang
We prove a complete characterization of the extremal invariant measures for half-space geometric last-passage percolation with an arbitrary boundary parameter. This is the first re…
Some Applications of Group Theoretic Rips Constructions to the Classification of von Neumann Algebras
Ionut Chifan, Sayan Das, Krishnendu Khan
In this paper we study various von Neumann algebraic rigidity aspects for the property (T) groups that arise via the Rips construction developed by Belegradek and Osin in geometric…
On Optimal Data Splitting for Split Conformal Prediction
Sayan Das, Bahram Yaghooti, Todd A. Kuffner +1
Conformal prediction and its variants, including the split conformal prediction, provide a distribution-free framework for uncertainty quantification by constructing prediction int…
Testing Microbiome Community Differences in High Dimensions: A Bootstrap Approach for Compositional Data
Monika Bhattacharjee, Nilanjan Chakraborty, Sayan Das +6
Understanding differences in microbial community structure is critical for uncovering risk factors and mechanisms underlying diseases such as colorectal cancer and preterm birth. M…
Cross-stream migration characteristics of a deformable droplet in a non-isothermal Poiseuille Flow through Microfluidic Channel
Sayan Das, Shubhadeep Mandal, Suman Chakraborty
The migration characteristics of a suspended deformable droplet in a parallel plate microchannel is studied, both analytically and numerically, under the combined influence of a co…
Quantum error correction below the surface code threshold
Rajeev Acharya, Laleh Aghababaie-Beni, Igor Aleiner +246
Quantum error correction provides a path to reach practical quantum computing by combining multiple physical qubits into a logical qubit, where the logical error rate is suppressed…
Magic state cultivation on a superconducting quantum processor
Emma Rosenfeld, Craig Gidney, Gabrielle Roberts +292
Fault-tolerant quantum computing requires a universal gate set, but the necessary non-Clifford gates represent a significant resource cost for most quantum error correction archite…
Poisson boundaries of II factors
Sayan Das, Jesse Peterson
We introduce Poisson boundaries of II factors with respect to density operators that give the traces. The Poisson boundary is a von Neumann algebra that contains the II fac…
Fluctuations of Quadratic Chaos
Bhaswar B. Bhattacharya, Sayan Das, Somabha Mukherjee +1
In this paper we characterize all distributional limits of the random quadratic form , where is a $\{0,…
Solving marginals of the LDP for the directed landscape
Sayan Das, Li-Cheng Tsai
We prove the upper-tail Large Deviation Principle (LDP) for the parabolic Airy process and characterize the limit shape of the directed landscape under the upper-tail conditioning.…
KPZ equation limit of sticky Brownian motion
Sayan Das, Hindy Drillick, Shalin Parekh
We consider the motion of a particle under a continuum random environment whose distribution is given by the Howitt-Warren flow. In the moderate deviation regime, we establish that…
Scaling and logic in the color code on a superconducting quantum processor
Nathan Lacroix, Alexandre Bourassa, Francisco J. H. Heras +212
Quantum error correction is essential for bridging the gap between the error rates of physical devices and the extremely low logical error rates required for quantum algorithms. Re…
Reinforcement Learning Control of Quantum Error Correction
Volodymyr Sivak, Alexis Morvan, Michael Broughton +296
Quantum error correction (QEC) is the primary strategy for protecting a quantum computer from the environment. Its prerequisite is that errors must remain sufficiently rare, which…
Extremal process of the zero-average Gaussian Free Field for
Sayan Das, Rajat Subhra Hazra
We consider the Gaussian free field on the torus whose covariance kernel is given by the zero-average Green's function. We show that for dimension , the extremal point proc…
Visualizing Dynamics of Charges and Strings in (2+1)D Lattice Gauge Theories
Tyler A. Cochran, Bernhard Jobst, Eliott Rosenberg +189
Lattice gauge theories (LGTs) can be employed to understand a wide range of phenomena, from elementary particle scattering in high-energy physics to effective descriptions of many-…
Thermalization and Criticality on an Analog-Digital Quantum Simulator
Trond I. Andersen, Nikita Astrakhantsev, Amir H. Karamlou +224
Understanding how interacting particles approach thermal equilibrium is a major challenge of quantum simulators. Unlocking the full potential of such systems toward this goal requi…
Observation of disorder-free localization using a (2+1)D lattice gauge theory on a quantum processor
Gaurav Gyawali, Shashwat Kumar, Yuri D. Lensky +219
Disorder-induced phenomena in quantum many-body systems pose significant challenges for analytical methods and numerical simulations at relevant time and system scales. To reduce t…
Quantum-Classical Separation in Bounded-Resource Tasks Arising from Measurement Contextuality
Shashwat Kumar, Eliott Rosenberg, Alejandro Grajales Dau +280
The prevailing view is that quantum phenomena can be harnessed to tackle certain problems beyond the reach of classical approaches. Quantifying this capability as a quantum-classic…
Motif Estimation via Subgraph Sampling: The Fourth Moment Phenomenon
Bhaswar B. Bhattacharya, Sayan Das, Sumit Mukherjee
Network sampling is an indispensable tool for understanding features of large complex networks where it is practically impossible to search over the entire graph. In this paper, we…
Fractional moments of the Stochastic Heat Equation
Sayan Das, Li-Cheng Tsai
Consider the solution of the one-dimensional stochastic heat equation, with a multiplicative spacetime white noise, and with the delta initial data $\mathcal{Z}(…
Rigidity results for von Neumann algebras arising from mixing extensions of profinite actions of groups on probability spaces
Ionut Chifan, Sayan Das
Motivated by Popa's seminal work \cite{Po04}, in this paper, we provide a fairly large class of examples of group actions satisfying the extended Neshveyev-S…
Large deviation principle for random permutations
Jacopo Borga, Sayan Das, Sumit Mukherjee +1
We derive a large deviation principle for random permutations induced by probability measures of the unit square, called permutons. These permutations are called -random permut…
Examples of property (T) II factors with trivial fundamental group
Ionut Chifan, Sayan Das, Cyril Houdayer +1
In this article we provide the first examples of property (T) factors with trivial fundamental group, . Our examples arise as gro…
Large deviations for the -deformed polynuclear growth
Sayan Das, Yuchen Liao, Matteo Mucciconi
In this paper, we study large time large deviations for the height function of the -deformed polynuclear growth introduced in ABW22 [arXiv:2108.06018]. We sh…
Bipartite entanglement via distance between the states in a one dimensional spin 1/2 dimer copper acetate monohydrate
S. Athira, Saulo L. L. Silva, Sushma Lakshmi +8
In this paper, we used a theoretical measure known as distance between the states, , to determine the bipartite entanglement of a one dimensional magnetic dimer…
Convergence to stationary measures for the half-space log-gamma polymer
Sayan Das, Christian Serio
We consider the point-to-point half-space log-gamma polymer model in the unbound phase. We prove that the free energy increment process on the anti-diagonal path converges to the t…
Law of Iterated Logarithms and Fractal Properties of the KPZ Equation
Sayan Das, Promit Ghosal
We consider the Cole-Hopf solution of the (1+1)-dimensional KPZ equation started from the narrow wedge initial condition. In this article, we ask how the peaks and valleys of the K…
Migration of a surfactant-laden droplet in non-isothermal Poiseuille flow
Sayan Das, Shubhadeep Mandal, S K Som +1
The motion of a surfactant-laden viscous droplet in the presence of background non-isothermal Poiseuille flow is studied analytically and numerically. Specifically, the effect of i…
Invariant subalgebras of von Neumann algebras arising from negatively curved groups
Ionut Chifan, Sayan Das, Bin Sun
Using an interplay between geometric methods in group theory and soft von Neuman algebraic techniques we prove that for any icc, acylindrically hyperbolic group its von Neuman…
Multiplicative SHE limit of random walks in space-time random environments
Sayan Das, Hindy Drillick, Shalin Parekh
We show that under a certain moderate deviation scaling, the multiplicative-noise stochastic heat equation (SHE) arises as the fluctuations of the quenched density of a 1D random w…
KPZ exponents for the half-space log-gamma polymer
Guillaume Barraquand, Ivan Corwin, Sayan Das
We consider the point-to-point log-gamma polymer of length in a half-space with i.i.d. distributed bulk weights and i.i.d. $\operatorname{Gamm…
Complex Fluid-Fluid Interface may Non Trivially Dictate Droplet Deformation in an Incipient Flow
Sayan Das, Shubhadeep Mandal, Suman Chakraborty
The present study theoretically predicts the effect of interfacial viscosity on the deformation of a compound drop as well as on the bulk rheology. The system at hand comprises of…
The half-space KPZ line ensemble and its scaling limit
Sayan Das, Christian Serio
For each , , we show that there exists a unique -indexed line ensemble of random continuous curves with…
Large deviations for discrete -ensembles
Sayan Das, Evgeni Dimitrov
We consider discrete -ensembles as introduced by Borodin, Gorin and Guionnet in (Publications math{\' e}matiques de l'IH{\' E}S 125, 1-78, 2017). Under general assumptions, we…
The half-space log-Gamma polymer in the bound phase
Sayan Das, Weitao Zhu
We consider the log-Gamma polymer in the half-space with bulk weights distributed as and diagonal weights as for…
Floor- or ceiling-sliding for chemically active, gyrotactic, sedimenting Janus particles
Sayan Das, Zohreh Jalilvand, Mihail N. Popescu +3
Surface bound catalytic chemical reactions self-propel chemically active Janus particles. In the vicinity of boundaries, these particles exhibit rich behavior, such as the occurren…
Lower tail large deviations of the stochastic six vertex model
Sayan Das, Yuchen Liao, Matteo Mucciconi
In this paper, we study lower tail probabilities of the height function of the stochastic six-vertex model. We introduce a novel combinatorial approach to demon…
Fluctuation exponents of the open KPZ equation in the maximal current phase
Andres A. Contreras Hip, Sayan Das, Antonios Zitridis
We consider the open KPZ equation on the interval with Neumann boundary conditions depending on parameters (the so-called maximal current phase). For $L…
Electrohydrodynamics of compound droplet in a microfluidic confinement
Somnath Santra, Sayan Das, Suman Chakraborty
The present study deals with the dynamics of a double emulsion confined in a microchannel under the presence of a uniform electric field. Towards investigating the non-trivial elec…
Semidirect product rigidity of group von Neumann algebras arising from class , inductive limits and fundamental group
Sayan Das, Krishnendu Khan
In this article we study property (T) groups arising from Rips construction in geometric group theory in the spirit of \cite{CDK19} and certain inductive limit groups from this cla…
Thermally modulated cross-stream migration of a surfactant-laden deformable drop in a Poiseuille flow
Sayan Das, Suman Chakraborty
In the present study, we investigate the cross-stream migration of a deformable droplet suspended in a non-isothermal Poiseuille flow in the presence of bulk-insoluble surfactants.…
Localization of the continuum directed random polymer
Sayan Das, Weitao Zhu
We consider the continuum directed random polymer (CDRP) model that arises as a scaling limit from dimensional directed polymers in the intermediate disorder regime. We show…
Long and short time laws of iterated logarithms for the KPZ fixed point
Sayan Das, Promit Ghosal, Yier Lin
We consider the KPZ fixed point starting from a general class of initial data. In this article, we study the growth of the large peaks of the KPZ fixed point at a spatial point …
Peripheral Poisson boundaries and jointly bi-harmonic functions
Sayan Das
In this paper we answer a question of Kaimanovich by characterizing (jointly) bi-harmonic functions on countable, discrete groups with respect to a symmetric, generating measure. W…
Electric field- induced Pinch-off of a migrating compound droplet in confined micro channel
Somnath Santra, Sayan Das, Suman Chakraborty
The present study looks into the pinch-off dynamics of a compound droplet, which is suspended in another fluid in a parallel plate microchannel. The droplet is subjected to a trans…
Surfactant-induced-retardation in lateral migration of droplets in a microfluidic confinement
Somnath Santra, Sayan Das, Sankha Shuvra Das +1
In the present study, the role of surfactants on the cross-stream migration of droplets is investigated both experimentally and theoretically. For experimental analysis, sunflower…
Precision quantum simulation of magnon spectra and interactions
Trond I. Andersen, Nikita Astrakhantsev, Jeronimo Martinez +329
Quantum simulation promises to advance materials discovery by accurately simulating complex states of matter, their microscopic excitations, and macroscopic response functions. The…
Constructive interference at the edge of quantum ergodic dynamics
Dmitry A. Abanin, Rajeev Acharya, Laleh Aghababaie-Beni +262
Quantum observables in the form of few-point correlators are the key to characterizing the dynamics of quantum many-body systems. In dynamics with fast entanglement generation, qua…
Upper tail large deviations of the directed landscape
Sayan Das, Duncan Dauvergne, Bálint Virág
Starting from one-point tail bounds, we establish an upper tail large deviation principle for the directed landscape at the metric level. Metrics of finite rate are in one-to-one c…
Electrohydrodynamic interaction between droplet pairs in confined shear flow
Somnath Santra, Diptendu Sen, Sayan Das +1
The present study deals with the numerical as well as asymptotic analysis of the electrohydrodynamic interaction between two deformable droplets in a confined shear flow. Consideri…
Upper-tail large deviation principle for the ASEP
Sayan Das, Weitao Zhu
We consider the asymmetric simple exclusion process (ASEP) on started from step initial data and obtain the exact Lyapunov exponents for , the integrated curre…
New examples of Property (T) factors with trivial fundamental group and unique prime factorization
Sayan Das
In this paper we provide new examples of property (T) group factors with trivial fundamental group thereby providing more evidence towards Popa's conjecture on triviality of fundam…
It Isn't Sh!tposting, It's My CAT Posting
Parthsarthi Rawat, Sayan Das, Jorge Aguirre +1
In this paper, we describe a novel architecture which can generate hilarious captions for a given input image. The architecture is split into two halves, i.e. image captioning and…
Cross-stream migration of a surfactant-laden deformable droplet in a Poiseuille flow
Sayan Das, Shubhadeep Mandal, Suman Chakraborty
The motion of a viscous deformable droplet suspended in an unbounded Poiseuille flow in the presence of bulk-insoluble surfactants is studied analytically. Assuming the convective…
Novel Deep Learning Architectures for Classification and Segmentation of Brain Tumors from MRI Images
Sayan Das, Arghadip Biswas
Brain tumors pose a significant threat to human life, therefore it is very much necessary to detect them accurately in the early stages for better diagnosis and treatment. Brain tu…
A fourth moment phenomenon for asymptotic normality of monochromatic subgraphs
Sayan Das, Zoe Himwich, Nitya Mani
Given a graph sequence and a simple connected subgraph , we denote by the number of monochromatic copies of in a uniformly random vertex colorin…
Demonstrating dynamic surface codes
Alec Eickbusch, Matt McEwen, Volodymyr Sivak +204
A remarkable characteristic of quantum computing is the potential for reliable computation despite faulty qubits. This can be achieved through quantum error correction, which is ty…
Hilbert space signatures of non-ergodic glassy dynamics
Aleksey Lunkin, Nicole S. Ticea, Shashwat Kumar +292
Disorder in quantum many-body systems can drive transitions between ergodic and non-ergodic phases, yet the nature--and even the existence--of these transitions remains intensely d…
Effect of Marangoni stress on the bulk rheology of a dilute emulsion of surfactant-laden deformable droplets in linear flows
Shubhadeep Mandal, Sayan Das, Suman Chakraborty
In the present study we analytically investigate the deformation and bulk rheology of a dilute emulsion of surfactant-laden droplets suspended in a linear flow. We use an asymptoti…
An angle between intermediate subfactors and its rigidity
Keshab Chandra Bakshi, Sayan Das, Zhengwei Liu +1
We introduce a new notion of angle between intermediate subfactors and prove various interesting properties of the angle and relate it with the Jones' index. We prove a uniform 60…
Memory-like effects and kinematics of trajectories in Cyclotron motion
Manthan Kashyap Datta, Mantra Mehta, Sayan Das
We investigate the collective dynamics of a bundle of charged particles undergoing cyclotron motion in a uniform magnetic field when subjected to a short-duration electric pulse. U…
Krylov Complexity: Flat bands and Carroll breaking deformations
Aritra Banerjee, Arpan Bhattacharyya, Rudranil Basu +1
Systems with flat band structures, when written in the language of Compact Localised States (CLS), have been shown to be explicitly invariant under supertranslation symmetries, mak…
Interfacial viscosity-induced suppression of lateral migration of a surfactant-laden droplet in a non-isothermal Poiseuille flow
Devi Prasad Panigrahi, Somnath Santra, Theneyur Narayanaswamy Banuprasad +2
Understanding and modulating the cross-stream motion of a surfactant-coated droplet in pressure driven flow has great implications in many practical applications. A combination of…
Influence of interfacial slip on the suspension rheology of a dilute emulsion of surfactant-laden deformable drops in linear flows
Sayan Das, Anirban Bhattacharjee, Suman Chakraborty
The present study deals with the effect of interfacial slip on the deformation and emulsion rheology of a dilute suspension of droplets in a linear flow. The droplets are laden wit…
Thermocapillary effect on the cross-stream migration of a surfactant-laden droplet in Poiseuille flow
Sayan Das, Shubhadeep Mandal, S. K. Som +1
The motion of a viscous droplet in unbounded Poiseuille flow under the combined influence of bulk-insoluble surfactant and linearly varying temperature field aligned in the directi…
Observation of disorder-induced superfluidity
Nicole Ticea, Elias Portoles, Eliott Rosenberg +298
The emergence of states with long-range correlations in a disordered landscape is rare, as disorder typically suppresses the particle mobility required for long-range coherence. Bu…
Pinning in non-critical half-space geometric last passage percolation
Sayan Das, Evgeni Dimitrov, Zongrui Yang
We study a symmetrized (half-space) version of geometric last passage percolation with a boundary parameter that interpolates between subcritical, critical, and supercritical b…
Temporal increments of the KPZ equation with general initial data
Sayan Das
We consider the Cole-Hopf solution of the (1+1)-dimensional KPZ equation started with initial data . In this article, we study the sample path properties of…
A remark on the ultrapower algebra of the hyperfinite factor
Ionut Chifan, Sayan Das
On page 43 in \cite{Po83} Sorin Popa asked whether the following property holds: \emph{If is a free ultrafilter on and is an irr…
Short- and long-time path tightness of the continuum directed random polymer
Sayan Das, Weitao Zhu
We consider the point-to-point continuum directed random polymer () model that arises as a scaling limit from dimensional directed polymers in the intermediate…