180 citations · 1.1k across the 42 of their papers we have counts for
26 papers · 1 filter
The robustness of composite pulses elucidated by classical mechanics: Stability around the globe
Jonathan Berkheim, David J. Tannor
Composite Pulses (CPs) are widely used in Nuclear Magnetic Resonance (NMR), optical spectroscopy, optimal control experiments and quantum computing to manipulate systems that are w…
Optimal control for maximally creating and maintaining a superposition state of a two-level system under the influence of Markovian decoherence
Yukiyoshi Ohtsuki, Suicho Mikami, Toru Ajiki +1
Reducing decoherence is an essential step toward realizing general-purpose quantum computers beyond the present noisy intermediate-scale quantum (NISQ) computers. To this end, dyna…
A Three-step Model of High Harmonic Generation using Complex Classical Trajectories
Werner Koch, David J. Tannor
We present a new trajectory formulation of high harmonic generation that treats classically allowed and classically forbidden processes within a single dynamical framework. Complex…
Systematic elimination of Stokes divergences emanating from complex phase space caustics
Werner Koch, David J. Tannor
Stokes phenomenon refers to the fact that the asymptotic expansion of complex functions can differ in different regions of the complex plane, and that beyond the so-called Stokes l…
Wavepacket revivals via complex trajectory propagation
Werner Koch, David J. Tannor
Complex-valued semiclassical methods hold out the promise of treating classically allowed and classically forbidden processes on the same footing. In addition, they provide a natur…
Quantum Dynamics in Phase space using the Biorthogonal von Neumann bases: Algorithmic Considerations
Shai Machnes, Elie Assémat, David Tannor
The von Neumann lattice refers to a discrete basis of Gaussians located on a lattice in phase space. It provides an attractive approach for solving quantum mechanical problems, all…
Quantum Dynamics in Phase Space using Projected von Neumann Bases
Shai Machnes, Elie Assémat, Henrik R. Larsson +1
We describe the mathematical underpinnings of the biorthogonal von Neumann method for quantum mechanical simulations (PvB). In particular, we present a detailed discussion of the i…
Reply to Comment by Brown and Carrington on "Phase-Space Approach to Solving the Time-Independent Schrödinger Equation"
Asaf Shimshovitz, David J. Tannor
The Comment of Brown and Carrington Jr. (BC) has two main points: 1) that the contraction idea of Shimshovitz and Tannor (ST) can be used for any DVR basis, not necessarily periodi…
Are there traps in quantum control landscapes?
Alexander N. Pechen, David J. Tannor
There has been great interest in recent years in quantum control landscapes. Given an objective that depends on a control field the dynamical landscape is defined…
Quantum control landscape for a -atom in the vicinity of second order traps
Alexander Pechen, David J. Tannor
We show that the second order traps in the control landscape for a three-level -system found in our previous work {\it Phys. Rev. Lett.} {\bf 106}, 120402 (2011) are not local m…
Gradient optimization of analytic controls: the route to high accuracy quantum optimal control
Shai Machnes, Elie Assémat, David J. Tannor +1
Quantum computation places very stringent demands on gate fidelities, and experimental implementations require both the controls and the resultant dynamics to conform to hardware-s…
Double ionization of Helium from a phase space perspective
Elie Assémat, Shai Machnes, David Tannor
The aim of this paper is two-fold. First, we present a phase space perspective on long range double ionization in a one dimensional model of helium. The dynamics is simulated with…
Control of quantum transmission is trap free
Alexander N. Pechen, David J. Tannor
We consider manipulation of the transmission coefficient for a quantum particle moving in one dimension where the shape of the potential is taken as the control. We show that the c…
Phase Space Approach to Solving the Time-independent Schrödinger Equation
Asaf Shimshovitz, David J. Tannor
We propose a method for solving the time independent Schrödinger equation based on the von Neumann (vN) lattice of phase space Gaussians. By incorporating periodic boundary conditi…
Complete Reconstruction of the Wavefunction of a Reacting Molecule by Four-Wave Mixing Spectroscopy
David Avisar, David J. Tannor
Probing the real time dynamics of a reacting molecule remains one of the central challenges in chemistry. In this letter we show how the time-dependent wavefunction of an excited-s…
Controllability on relaxation-free subspaces: On the relationship between adiabatic population transfer and optimal control
Haidong Yuan, Christiane Koch, Peter Salamon +1
We consider the optimal control problem of transferring population between states of a quantum system where the coupling proceeds only via intermediate states that are subject to d…
Correcting errors in a quantum gate with pushed ions via optimal control
U. V. Poulsen, S. Sklarz, D. Tannor +1
We analyze in detail the so-called "pushing gate" for trapped ions, introducing a time dependent harmonic approximation for the external motion. We show how to extract the average…
Path integral derivations of novel complex trajectory methods
Jeremy Schiff, Yair Goldfarb, David J. Tannor
Path integral derivations are presented for two recently developed complex trajectory techniques for the propagation of wave packets, Complex WKB and BOMCA. Complex WKB is derived…
Complex trajectory method in time-dependent WKB
Yair Goldfarb, Jeremy Schiff, David J Tannor
We present a significant improvement to a time-dependent WKB (TDWKB) formulation developed by Boiron and Lombardi [JCP {\bf108}, 3431 (1998)] in which the TDWKB equations are solve…
Unified derivation of Bohmian methods and the incorporation of interference effects
Yair Goldfarb, Jeremy Schiff, David J Tannor
We present a unified derivation of Bohmian methods that serves as a common starting point for the derivative propagation method (DPM), Bohmian mechanics with complex action (BOMCA)…
Interference in Bohmian Mechanics with Complex Action
Yair Goldfarb, David J Tannor
In recent years, intensive effort has gone into developing numerical tools for exact quantum mechanical calculations that are based on Bohmian mechanics. As part of this effort we…
Thermodynamic analysis of quantum light amplification
E. Boukobza D. J. Tannor
Thermodynamics of a three-level maser was studied in the pioneering work of Scovil and Schulz-DuBois [Phys. Rev. Lett. 2, 262 (1959)]. In this work we consider the same three-level…
Bohmian Mechanics with Complex Action: A New Trajectory-Based Formulation of Quantum Mechanics
Yair Goldfarb, Ilan Degani, David J. Tannor
In recent years there has been a resurgence of interest in Bohmian mechanics as a numerical tool because of its local dynamics, which suggest the possibility of significant computa…
Entropy exchange and entanglement in the Jaynes-Cummings model
E. Boukobza, D. J. Tannor
The Jaynes-Cummings model is the simplest fully quantum model that describes the interaction between light and matter. We extend a previous analysis by Phoenix and Knight (S. J. D.…