• Quantum computational complexity, Quantum algorithms, Quantum cryptographic protocols
• The transition from quantum to classical physics
• The notion of entanglement, and how it can be better understood via the study of quantum complexity
• Quantum Hamiltonian complexity and connections to condensed matter physics
• Connections between quantum computation and various other complexity topics such as Markov chains, lattices, and more

Nanoscience and Nanotechnology: Basic Science and Applications of Nanoparticles

• Synthesis and characterization of novel semiconductor nanocrystals and nanostructures and their assemblies
• Size dependent optical and electronic properties of nanocrystal
• Single nanostructure microscopy and spectroscopy
• Alternative energy solutions using nanoparticles
• Lasers and optical devices based on colloidal semiconductor nanostructures
• Biological, medical and sensing applications of nanocrystals
• Non linear optical properties of semiconductor nanocrystals and nanorods
• Electrical Transport studies on single nanorods and nanocrystal arrays

• Quantum coherence of NV centers
• Magnetic sensing and spectroscopy
• Quantum memory and control

 

Quantum devices in the nanoscale for quantum information processing:

developing novel quantum materials that can process quantum information by scattering of light, such as quantum mirrors.

• Quantum Nanophotonics
• Nonlinear Optics
• Quantum Optics
• Quantum Information
• Gravity Analogues

 

• Conventionalism
• Conceptual foundations of statistical physics
• Quantum mechanics philosophy

• Quantum computation
• Distributed computation
• Fault tolerance
• Computational complexity and cryptography

• Quantum computation and algorithms
• The interstellar medium
• Genetic networks

• Quantum optics in complex media
• Multiple scattering of entangled photons
• Quantum imaging
• imaging in scattering samples
• Hanbury Brown-Twiss interferometry

• Multi-photon entanglement generation
• Projection of two biphoton qutrits onto a maximally entangled state
• Quantum key distribution with biphotons
• Photon enanglement with quasy-phase-matched crystals
• Photon enanglement with low-symetry crystals

• Nonequilibrium mode locking phase diagram
• Noise-activated transitions and entropic barriers
• Fluctuations, dispersive waves, and coherence
• Continuum-pulse and pulse-pulse interactions
• Entanglement generation in semiclassical wave packets
• Wave packet interferometry and geometric phases
• Scattering from classical singularities
• Self-interacting wave packets

• correlated quantum systems
• modern condensed matter physics
• devising new numerical methodologies such as quantum Monte Carlo, tensor networks, and machine learning inspired techniques that push this boundary

• Combinatorics of convex sets, convex polytopes, and Helly-type theorems
• Analysis of Boolean functions, influence, noise sensitivity, and threshold phenomena
• Algebraic and topological combinatorics
• Linear programming
• Combinatorial problems in theoretical computer science
• Quantum fault tolerance

Mission: Experimentally create, manipulate and enhance coherence of quantum systems at the mesoscopic and macroscopic level. We are measuring both superconducting Josephson circuits and atomic ensembles. In the superconducting circuits, with proper engineering of parameters and materials, macroscopic physical quantities such as magnetic flux (related to a superconducting phase difference) behave quantum mechanically. The result is a controllable quantum system with energy levels and coherence. We also implement macroscopic quantum coherence via slow and stored light in atomic ensembles. We use Rubidium vapor and optical frequency lasers to excite and probe the coherence.

Quantum molecular dynamics constitutes the thrust of my research. The goal is to gain insight into realistic elementary chemical encounters. This requires the development and application of a quantum description to molecular processes. In particular the emphasis is on time-dependent approaches which can follow naturally the stream of events.

• Coherent chemistry: light induced processes
• Coherent control and laser cooling
• Dynamical processes on surfaces
• Quantum thermodynamics
• Computational and teaching methods

Experimental research of quantum information processing platforms:

• Non-classical states of macroscopic mechanical objects (Quantum MEMS).
• Quantum-limited measurement of superconducting devices.
• Hybrid quantum systems with charged particles: electrons and superconductors, mechanical systems with trapped ions.
• Quantum sensing using quantum information processing techniques.
• Quantum information theory: tomography, benchmarking and entanglement witnesses, macroscopicity of quantum mechanics.

• Combinatorics
• Geometry
• Physics
• Topology

• Mechanism Design, Combinatorial Auctions
• Nonmonotonic Reasoning, Belief Revision
• Neural Networks

• Quantum control of complex molecular systems
• Quantum biology and logic with finite state machines

• Silicon photonics
• Polarization optics
• Plasmonics
• Optofluidics
• Near field optics

• Ergodic theory
• Dynamical systems and their applications to number theory
• Quantum to classical transition

• Group theory
• Lie groups
• Combinatorics
• Field arithmetics

• Nano dots and nano crystals
• Coupling control studies (optics, transport)
• Transport noise and magnetotransport studies
• Hybrid devices
• Single photon detectors and emitters
• Quantum classical computing

• Understanding and control of noise in open quantum-optical systems
• New physical phenomena at exceptional points
• Noise-resilient protocols for quantum computation applications
• Light-matter interaction (emission, absorption, and ionization)

 

• Coupling of single and many quantum dots to nano-plasmonic and nano-photonic structures
• Active quantum dots based hybrid devices
• Single photon sources
• Non-linear nano-photonics and nano-plasmonics
• Physics of two-dimensional quantum degenerate exitonic fluids

• Quantum sensing
• Quantum Simulations
• Quantum information
• Cooling schemes
• Trapped ions
• Bose einstein Condensates
• Nano-mechanical oscillators
• NV centers in diamond

• condensed matter physics and computation
• Limitations on simulating complex quantum systems
• Statistical mechanics of deep learning algorithms
• Combining deep learning and renormalization group to unravel the physics of complex phases of matter

• Metrology for Standard Model testing using optical traps
• Electronuclear (electron induced) or photonuclear (photon induced) reactions to study the strong nuclear force
• Electromagnetically induced transparency in meta-stable Neon

• Group Theory: p-groups and pro-p groups, analytic pro-p groups
• Group Theory: finite and profinite groups, permutation groups, finite simple groups
• Lie algebras and their group-theoretic applications
• Group rings
• Probabilistic methods in group theory

My main active research is in two fields: one is the foundations of physics, with special interest in statistical mechanics and in the explanation of the time directedness of processes, in the framework of both classical mechanics and quantum mechanics. Most of my publications are in this field, including the forthcoming book (with Meir Hemmo) The Road to Maxwell's Demon (Cambridge University Press), which offers a new conceptual foundation for statistical mechanics. he other - and closely related - field of active research is the meaning of the concept of probability, both in general and as it is used in classical and quantum physics. My publications are mostly on probaility in physics, and The Road to Maxwell's Demon offers a physically objective account of probability in physics.

• Quantum measurements
• Macroscopic quantum states
• Quantum sensing
• Nano- and micromechanical oscillators
• Optomechanics

I perform experimental investigations of electronic transport in devices consisting of graphene and topological insulators. The devices are built using nano-fabrication techniques and are measured at very low temperatuers (300mK) and high magnetic fields.

Research interests: miniature quantum sensors (atomic-clocks, optical magnetometers, E-field sensors), time and frequency, miniature frequency-combs (micro-combs), and the interplay between photonics and atomic-physics. We study interactions among diverse ‘flavors’ of photons and atoms in order to (a) develop novel types of miniature quantum-sensors, and (b) understand light-matter interactions of light and atoms occurring at minuscule dimensions.

With the rise of quantum technologies and the ability to control single atoms, ions and molecules, thermodynamics faces new challenges:

• What new thermodynamic effects can be observed in the quantum microscopic realm?
• Can quantum heat machines drastically outperform classical heat machines?
• Are there additional scale-dependent thermodynamic laws that become important only in small coherent systems?
• What are the possibilities entailed in microscopic thermal control protocols?
• How will the next generation of microscopic heat machines look like?

We investigate the properties of low-dimensional quantum materials and devices including:

•  Emergent degrees of freedom in quantum materials
•  Energy transport and dissipation
•  Novel neutral modes for quantum information processing

 

 

• Quantum Simulation of quantum field theory and high energy physics
• Tensor Network approaches to quantum field theory and many body physics
• Hamiltonian Gauge Theories