146 citations · 895 across the 23 of their papers we have counts for
24 papers
Trainability, Expressivity and Interpretability in Gated Neural ODEs
Timothy Doyeon Kim, Tankut Can, Kamesh Krishnamurthy
Understanding how the dynamics in biological and artificial neural networks implement the computations required for a task is a salient open question in machine learning and neuros…
Flatter, faster: scaling momentum for optimal speedup of SGD
Aditya Cowsik, Tankut Can, Paolo Glorioso
Commonly used optimization algorithms often show a trade-off between good generalization and fast training times. For instance, stochastic gradient descent (SGD) tends to have good…
Emergence of robust memory manifolds
Tankut Can, Kamesh Krishnamurthy
The ability to store continuous variables in the state of a biological system (e.g. a neural network) is critical for many behaviours. Most models for implementing such a memory ma…
Theory of gating in recurrent neural networks
Kamesh Krishnamurthy, Tankut Can, David J. Schwab
Recurrent neural networks (RNNs) are powerful dynamical models, widely used in machine learning (ML) and neuroscience. Prior theoretical work has focused on RNNs with additive inte…
Spectral transitions and universal steady states in random Kraus maps and circuits
Lucas Sá, Pedro Ribeiro, Tankut Can +1
The study of dissipation and decoherence in generic open quantum systems recently led to the investigation of spectral and steady-state properties of random Lindbladian dynamics. A…
Gating creates slow modes and controls phase-space complexity in GRUs and LSTMs
Tankut Can, Kamesh Krishnamurthy, David J. Schwab
Recurrent neural networks (RNNs) are powerful dynamical models for data with complex temporal structure. However, training RNNs has traditionally proved challenging due to explodin…
Hydrodynamics of two-dimensional compressible fluid with broken parity: variational principle and free surface dynamics in the absence of dissipation
Alexander G. Abanov, Tankut Can, Sriram Ganeshan +1
We consider an isotropic compressible non-dissipative fluid with broken parity subject to free surface boundary conditions in two spatial dimensions. The hydrodynamic equations des…
Spectral gaps and mid-gap states in random quantum master equations
Tankut Can, Vadim Oganesyan, Dror Orgad +1
We discuss the decay rates of chaotic quantum systems coupled to noise. We model both the Hamiltonian and the system-noise coupling by random Hermitian matrices, and s…
Random Lindblad Dynamics
Tankut Can
We study the mixing behavior of random Lindblad generators with no symmetries, using the dynamical map or propagator of the dissipative evolution. In particular, we determine the l…
Measuring Electromagnetic and Gravitational Responses of Photonic Landau Levels
Nathan Schine, Michelle Chalupnik, Tankut Can +2
The topology of an object describes global properties that are insensitive to local perturbations. Classic examples include string knots and the genus (number of handles) of a surf…
Odd surface waves in two-dimensional incompressible fluids
Alexander G. Abanov, Tankut Can, Sriram Ganeshan
We consider free surface dynamics of a two-dimensional incompressible fluid with odd viscosity. The odd viscosity is a peculiar part of the viscosity tensor which does not result i…
Quantum Hall States and Conformal Field Theory on a Singular Surface
T. Can, P. Wiegmann
In [Can et al. 2016], quantum Hall states on singular surfaces were shown to possess an emergent conformal symmetry. In this paper, we develop this idea further and flesh out detai…
Odd viscosity in two-dimensional incompressible fluids
Sriram Ganeshan, Alexander G. Abanov
In this work, we present observable consequences of parity-violating odd viscosity term in incompressible 2+1D hydrodynamics. For boundary conditions depending on the velocity fiel…
Particle-Hole Duality in the Lowest Landau Level
Dung Xuan Nguyen, Tankut Can, Andrey Gromov
We derive a number of exact relations between response functions of holomorphic, chiral fractional quantum Hall states and their particle-hole (PH) conjugates. These exact relation…
Central charge from adiabatic transport of cusp singularities in the quantum Hall effect
Tankut Can
We study quantum Hall (QH) states on a punctured Riemann sphere. We compute the Berry curvature under adiabatic motion in the moduli space in the large N limit. The Berry curvature…
Emergent Conformal Symmetry of Quantum Hall States on Singular surfaces
M. Laskin, Y. H. Chiu, T. Can +1
We show that quantum Hall states on surfaces with conical singularities behave as conformal primaries near the singular points, with a conformal dimension controlled by the gravita…
Collective Field Theory for Quantum Hall States
M. Laskin, T. Can, P. Wiegmann
We develop a collective field theory for fractional quantum Hall (FQH) states. We show that in the leading approximation for a large number of particles, the properties of Laughlin…
Geometry of Quantum Hall States: Gravitational Anomaly and Kinetic Coefficients
T. Can, M. Laskin, P. Wiegmann
We show that universal transport coefficients of the fractional quantum Hall effect (FQHE) can be understood as a response to variations of spatial geometry. Some transport propert…
Spatial Current Patterns, Dephasing and Current Imaging in Graphene Nanoribbons
Joel Mabillard, Tankut Can, Dirk K. Morr
Using the non-equilibrium Keldysh Green's function formalism, we investigate the local, non-equilibrium charge transport in graphene nanoribbons (GNRs). In particular, we demonstra…
Fractional Quantum Hall Effect in a Curved Space: Gravitational Anomaly and Electromagnetic Response
T. Can, M. Laskin, P. Wiegmann
We develop a general method to compute correlation functions of fractional quantum Hall (FQH) states on a curved space. In a curved space, local transformation properties of FQH st…
Exact and asymptotic features of the edge density profile for the one component plasma in two dimensions
T. Can, P. J. Forrester, G. Tellez +1
There is a well known analogy between the Laughlin trial wave function for the fractional quantum Hall effect, and the Boltzmann factor for the two-dimensional one-component plasma…
Singular Behavior At The Edge of Laughlin States
T. Can, P. J. Forrester, G. Téllez +1
A distinguishing feature of fractional quantum Hall (FQH) states is a singular behavior of equilibrium densities at boundaries. In contrast to states at integer filling fraction, s…
Atomic Resolution Imaging of Currents in Nanoscopic Quantum Networks via Scanning Tunneling Microscopy
Tankut Can, Dirk K. Morr
We propose a new method for atomic-scale imaging of spatial current patterns in nanoscopic quantum networks by using scanning tunneling microscopy (STM). By measuring the current f…
Current Eigenmodes and Dephasing in Nanoscopic Quantum Networks
Tankut Can, Hui Dai, Dirk K. Morr
Using the non-equilibrium Keldysh Green's function formalism, we show that the non-equilibrium charge transport in nanoscopic quantum networks takes place via {\it current eigenmod…