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pro vyhledávání: '"Dawson, John P."'
Motivated by the recent introduction of an integrable coupled massive Thirring model by Basu-Mallick et al, we introduce a new coupled Soler model. Further we generalize both the coupled massive Thirring and the coupled Soler model to arbitrary nonli
Externí odkaz:
http://arxiv.org/abs/2407.16596
In this work, we show the application of the ``inverse problem'' method to construct exact $N$ trapped soliton-like solutions of the nonlinear Schr\"odinger or Gross-Pitaevskii equation (NLSE and GPE, respectively) in one, two, and three spatial dime
Externí odkaz:
http://arxiv.org/abs/2309.08789
In this work, we consider a ``reverse-engineering'' approach to construct confining potentials that support exact, constant density kovaton solutions to the classical Gross-Pitaevskii equation (GPE) also known as the nonlinear Schr\"odinger equation
Externí odkaz:
http://arxiv.org/abs/2303.02275
In this work, we consider the nonlinear Schr\"odinger equation (NLSE) in $2+1$ dimensions with arbitrary nonlinearity exponent $\kappa$ in the presence of an external confining potential. Exact solutions to the system are constructed, and their stabi
Externí odkaz:
http://arxiv.org/abs/2207.04527
This work focuses on the study of solitary wave solutions to a nonlocal, nonlinear Schr\"odinger system in $1$+$1$ dimensions with arbitrary nonlinearity parameter $\kappa$. Although the system we study here was first reported by Yang (Phys. Rev. E,
Externí odkaz:
http://arxiv.org/abs/2104.14736
We discuss the response of both moving and trapped solitary wave solutions of a nonlinear two-component nonlinear Schr\"odinger system in 1+1 dimensions to an anti-$\mathcal{PT}$ external periodic complex potential. The dynamical behavior of perturbe
Externí odkaz:
http://arxiv.org/abs/2009.03989
Autor:
Chukwu, Uchenna, Dridi, Raouf, Berwald, Jesse, Booth, Michael, Dawson, John, Le, DeYung, Wainger, Mark, Reinhardt, Steven P.
Graph partitioning is one of an important set of well-known compute-intense (NP-hard) graph problems that devolve to discrete constrained optimization. We sampled solutions to the problem via two different quantum-ready methods to understand the pros
Externí odkaz:
http://arxiv.org/abs/2006.15067
Autor:
Booth, Michael, Berwald, Jesse, Chukwu, Uchenna, Dawson, John, Dridi, Raouf, Le, DeYung, Wainger, Mark, Reinhardt, Steven P.
Many organizations that vitally depend on computation for their competitive advantage are keen to exploit the expected performance of quantum computers (QCs) as soon as quantum advantage is achieved. The best approach to deliver hardware quantum adva
Externí odkaz:
http://arxiv.org/abs/2005.11294
We present trapped solitary wave solutions of a coupled nonlinear Schr\"odinger system in $1$+$1$ dimensions in the presence of an external, supersymmetric and complex $\mathcal{PT}$-symmetric potential. The Schr\"odinger system this work focuses on
Externí odkaz:
http://arxiv.org/abs/2004.08940
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