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The Journal of chemical physics, ISSN 1089-7690, 2016, Volume 144, Issue 15, p. 154109
Journal Article
Journal of physics. A, Mathematical and theoretical, ISSN 1751-8121, 2012, Volume 45, Issue 44, pp. 444016 - 11
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 08/2017, Volume 50, Issue 38, p. 385001
The Nielsen-Ninomiya theorem implies that any local, Hermitian and translationally invariant lattice action in even-dimensional spacetime possesses an equal... 
PT-symmetry | tight-binding models | non-Hermitian Hamiltonians | Nielsen-Ninomiya theorem | PT -symmetry | DOUBLING PROBLEM | PHYSICS, MULTIDISCIPLINARY | PROOF | PHYSICS, MATHEMATICAL | DISORDERED FERMION COUPLINGS | SYMMETRY | ABSENCE | HAMILTONIANS | NEUTRINOS | LATTICE | High Energy Physics - Lattice | Condensed Matter | Mesoscopic Systems and Quantum Hall Effect | Physics
Journal Article
Journal of physics. A, Mathematical and theoretical, ISSN 1751-8121, 2018, Volume 51, Issue 42, p. 425203
We find stochastic equations governing eigenvalues and eigenvectors of a dynamical complex Ginibre ensemble reaffirming the intertwined role played between... 
random matrix theory | stochastic processes | non-Hermitian matrix ensembles | RANDOM-MATRIX ENSEMBLES | EIGENVALUES | PHYSICS, MULTIDISCIPLINARY | STATISTICS | EIGENVECTORS | REAL | PHYSICS, MATHEMATICAL | HERMITIAN MATRICES
Journal Article
Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 09/2010, Volume 82, Issue 3
Journal Article
Journal of physics. A, Mathematical and theoretical, ISSN 1751-8121, 2017, Volume 50, Issue 10, p. 105204
We extend the so-called 'single ring theorem' (Feinberg and Zee 1997 Nucl. Phys. B 504 579), also known as the Haagerup-Larsen theorem (Haagerup and Larsen... 
eigenvector correlations | Haagerup-Larsen theorem | non-hermitian random matrix models | single ring theorem | CHAOTIC CAVITIES | PHYSICS, MULTIDISCIPLINARY | STATISTICS | QUANTUM | ENSEMBLES | PHYSICS, MATHEMATICAL | RANDOM-MATRIX MODELS | PRODUCTS | PHASE-TRANSITION | SYSTEMS | SPECTRUM | OPERATORS
Journal Article
Physical Review Letters, ISSN 0031-9007, 08/2008, Volume 101, Issue 8, p. 080402
The visualization of an exceptional point in a PT-symmetric directional coupler (DC) is demonstrated. In such a system the exceptional point can be probed by... 
EXCEPTIONAL POINTS | REAL SPECTRA | PHYSICS, MULTIDISCIPLINARY | WELL | NON-HERMITIAN HAMILTONIANS | Physics - Quantum Physics
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 2011, Volume 44, Issue 48, pp. 1 - 16
Bragg scattering in sinusoidal PT-symmetric complex crystals of finite thickness is theoretically investigated by the derivation of exact analytical... 
BRAGG GRATINGS | PHYSICS, MULTIDISCIPLINARY | DIFFRACTION | PERIODIC POTENTIALS | WAVE-GUIDE | OPTICS | SPECTRA | PHYSICS, MATHEMATICAL | PROPAGATION | SCATTERING | NON-HERMITIAN HAMILTONIANS | SCHRODINGER-OPERATORS | Platinum | Breaking down | Mathematical analysis | Modulation | Exact solutions | Crystals | Derivation | Reflection | Visibility | Physics - Quantum Physics
Journal Article
Classical and Quantum Gravity, ISSN 0264-9381, 02/2017, Volume 34, Issue 5, p. 55005
We consider localized qubits evolving around a black hole following a quantum adiabatic dynamics. We develop a geometric structure (based on fibre bundles)... 
black hole | quantum teleportation | fibre bundle | qubit in curved spacetimes | non-Hermitian adiabatic dynamics | PHYSICS, MULTIDISCIPLINARY | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS | Quantum Physics | Physics | Astrophysics
Journal Article
Physical review letters, ISSN 1079-7114, 2009, Volume 102, Issue 22, p. 220402
Spectral singularities are spectral points that spoil the completeness of the eigenfunctions of certain non-Hermitian Hamiltonian operators. We identify... 
PHYSICS, MULTIDISCIPLINARY | NON-HERMITIAN HAMILTONIANS | WAVEGUIDES | REFLECTION | SYMMETRY | RESONANCE | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | RESONATORS | SINGULARITY | HAMILTONIANS | EIGENFUNCTIONS | POTENTIALS | SCATTERING
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 09/2014, Volume 47, Issue 37, pp. 375001 - 29
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 10/2015, Volume 92, Issue 4, p. 042102
We study the non-Hermitian Hofstadter dynamics of a quantum particle with biased motion on a square lattice in the background of a magnetic field. We show that... 
PHYSICS, MATHEMATICAL | PHYSICS, FLUIDS & PLASMAS | Quantum Physics | Statistics | Statistics Theory | Physics
Journal Article
Journal of physics. A, Mathematical and theoretical, ISSN 1751-8121, 2017, Volume 50, Issue 50, p. 505201
Floquet exceptional points correspond to the coalescence of two (or more) quasi-energies and corresponding Floquet eigenstates of a time-periodic non-Hermitian... 
non-Hermitian dynamics | Floquet theory | exceptional points | STATES | PHYSICS, MULTIDISCIPLINARY | PARITY-TIME SYMMETRY | LASER | DEGENERACIES | PHYSICS, MATHEMATICAL
Journal Article
Physical Review Letters, ISSN 0031-9007, 05/2011, Volume 106, Issue 21, p. 213901
Parity-time (PT) symmetric periodic structures, near the spontaneous PT-symmetry breaking point, can act as unidirectional invisible media. In this regime, the... 
TIME | PHYSICS, MULTIDISCIPLINARY | SCATTERING | NON-HERMITIAN HAMILTONIANS | Physics - Optics | GRATINGS | VARIATIONS | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | REFLECTION | TRANSMISSION | PARITY | SYMMETRY | NONLINEAR PROBLEMS | SYMMETRY BREAKING | PARTICLE PROPERTIES | PERIODICITY
Journal Article
Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 07/2015, Volume 92, Issue 1
We propose to realize mechanical parity-time (PT) symmetry in two coupled optomechanical systems. To provide gain to one mechanical resonator and the same... 
QUANTUM GROUND-STATE | RADIATION-PRESSURE | PARAMETRIC OSCILLATORY INSTABILITY | MOTION | MICROMECHANICAL OSCILLATOR | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | RESOLVED-SIDE-BAND | FABRY-PEROT-INTERFEROMETER | CAVITY OPTOMECHANICS | OPTICS | NON-HERMITIAN HAMILTONIANS | RESONATOR
Journal Article
Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 01/2013, Volume 87, Issue 1
For a general complex scattering potential defined on a real line, we show that the equations governing invisibility of the potential are invariant under the... 
PT-SYMMETRY | SPECTRUM | OPTICS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | NON-HERMITIAN HAMILTONIANS | PSEUDO-HERMITICITY
Journal Article
Physical Review Letters, ISSN 0031-9007, 07/2014, Volume 113, Issue 5, p. 053604
By exploiting recent developments associated with coupled microcavities, we introduce the concept of the PT-symmetric phonon laser with balanced gain and loss.... 
QUANTUM GROUND-STATE | MECHANICAL OSCILLATOR | PHYSICS, MULTIDISCIPLINARY | RESOLVED-SIDE-BAND | NOISE | CAVITY OPTOMECHANICS | RADIATION PRESSURE | NANOMECHANICAL OSCILLATOR | NON-HERMITIAN HAMILTONIANS | MICROWAVE FIELDS | RESONATOR | Amplification | Balancing | Platinum | Lasers | Phonons | Microcavities | Gain | Gain-Loss
Journal Article
Nuclear physics. B, ISSN 0550-3213, 2017, Volume 916, Issue C, pp. 607 - 626
Generic higher derivative theories are believed to be fundamentally unphysical because they contain Ostrogradsky ghosts. We show that within complex classical... 
PARTICLE | RIGIDITY | LAGRANGIANS | QUANTUM-MECHANICS | GRAVITY | NON-HERMITIAN HAMILTONIANS | PHYSICS, PARTICLES & FIELDS | Quantum theory | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Phenomenology | Quantum Physics | Nuclear and High Energy Physics | High Energy Physics - Theory
Journal Article
Physical Review Letters, ISSN 0031-9007, 05/2013, Volume 110, Issue 22, p. 223902
We provide the first experimental demonstration of defect states in parity-time (PT) symmetric mesh-periodic potentials. Our results indicate that these... 
REAL | MODES | PHYSICS, MULTIDISCIPLINARY | SPECTRA | LASER | NON-HERMITIAN HAMILTONIANS
Journal Article
Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 02/2013, Volume 87, Issue 2
We investigate the spectral properties and dynamical features of a time-periodic PT-symmetric Hamiltonian on a one-dimensional tight-binding lattice. It is... 
OPTICS | QUANTUM | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | NON-HERMITIAN HAMILTONIANS | Physics - Quantum Physics
Journal Article
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