Andrew K. Harter
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View article: Robust Quantum Control for Bragg Pulse Design in Atom Interferometry
Robust Quantum Control for Bragg Pulse Design in Atom Interferometry Open
We formulate a robust optimal control algorithm to synthesize minimum energy pulses that can transfer a cold atom system into various momentum states. The algorithm uses adaptive linearization of the evolution operator and sequential quadr…
View article: Optimal Ensemble Control of Matter-Wave Splitting in Bose-Einstein Condensates
Optimal Ensemble Control of Matter-Wave Splitting in Bose-Einstein Condensates Open
We present a framework for designing optimal optical pulses for the matter-wave splitting of a Bose-Einstein Condensate (BEC) under the influence of experimental inhomogeneities, so that the sample is transferred from an initial rest posit…
View article: Real Edge Modes in a Floquet-modulated $\mathcal{PT}$-symmetric SSH model
Real Edge Modes in a Floquet-modulated $\mathcal{PT}$-symmetric SSH model Open
Non-Hermitian Hamiltonians provide a simple picture for analyzing systems with natural or induced gain and loss; however, in general, such Hamiltonians feature complex energies and a corresponding non-orthonormal eigenbasis. Provided that …
View article: Observation of parity-time symmetry breaking transitions in a dissipative Floquet system of ultracold atoms
Observation of parity-time symmetry breaking transitions in a dissipative Floquet system of ultracold atoms Open
Open physical systems with balanced loss and gain, described by non-Hermitian parity-time $$\left( {{\cal P}{\cal T}} \right)$$ reflection symmetric Hamiltonians, exhibit a transition which could engender modes that exponentially deca…
View article: Passive parity-time-symmetry-breaking transitions without exceptional points in dissipative photonic systems [Invited]
Passive parity-time-symmetry-breaking transitions without exceptional points in dissipative photonic systems [Invited] Open
Over the past decade, parity-time (PT)-symmetric Hamiltonians have been experimentally realized in classical, optical settings with balanced gain and loss, or in quantum systems with localized loss. In both realizations, the PT-symmetry-br…
View article: Topological and nonlinearity-induced thermalization in a PT-symmetric split-Langevin bath
Topological and nonlinearity-induced thermalization in a PT-symmetric split-Langevin bath Open
Open classical systems with balanced, separated gain and loss, called PT-symmetric systems, have been extensively studied over the past decade. Here, we investigate the properties of a uniform, harmonic chain with spatially separated visco…
View article: A split-Langevin bath: steady states from loss and a statistically balanced gain
A split-Langevin bath: steady states from loss and a statistically balanced gain Open
Open classical systems with balanced, spatially separated gain and loss, also called $\mathcal{PT}$ symmetric systems, are a subject of intense, ongoing research. We investigate the properties of a classical chain with spatially separated …
View article: Fragile aspects of topological transition in lossy and parity-time symmetric quantum walks
Fragile aspects of topological transition in lossy and parity-time symmetric quantum walks Open
Quantum walks often provide telling insights about the structure of the system on which they are performed. In PT-symmetric and lossy dimer lattices, the topological properties of the band structure manifest themselves in the quantization …
View article: PT symmetry breaking in the presence of random, periodic, long-range hopping
PT symmetry breaking in the presence of random, periodic, long-range hopping Open
Over the past five years, open systems with balanced gain and loss have been investigated for extraordinary properties that are not shared by their closed counterparts. Non-Hermitian, Parity-Time (PT ) symmetric Hamiltonians faithfully mod…
View article: Observation of parity-time symmetry breaking transitions in a dissipative Floquet system of ultracold atoms
Observation of parity-time symmetry breaking transitions in a dissipative Floquet system of ultracold atoms Open
Open physical systems with balanced loss and gain, described by non-Hermitian parity-time ($\mathcal{PT}$) reflection symmetric Hamiltonians, exhibit a transition which could engenders modes that exponentially decay or grow with time and t…
View article: Veiled symmetry of disordered Parity-Time lattices: protected PT-threshold and the fate of localization
Veiled symmetry of disordered Parity-Time lattices: protected PT-threshold and the fate of localization Open
Open, non-equilibrium systems with balanced gain and loss, known as parity-time ($\mathcal{PT}$)-symmetric systems, exhibit properties that are absent in closed, isolated systems. A key property is the $\mathcal{PT}$-symmetry breaking tran…
View article: <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi mathvariant="script">PT</mml:mi></mml:math>-breaking threshold in spatially asymmetric Aubry-André and Harper models: Hidden symmetry and topological states
-breaking threshold in spatially asymmetric Aubry-André and Harper models: Hidden symmetry and topological states Open
Aubry-Andre Harper (AAH) lattice models, characterized by\nreflection-asymmetric, sinusoidally varying nearest-neighbor tunneling profile,\nare well-known for their topological properties. We consider the fate of such\nmodels in the presen…