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We study phase coherent transport in a single channel system using the scattering matrix approach. It is shown that identical vanishing of the transmission amplitude occurs generically in quasi-1D systems if the time-reversal is a good…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 H. -W. Lee

We study the effects of parity-time(PT)-symmetry on the photon blockade and distinguish the different blockade mechanisms in a double-cavity optomechanical system. By studying the light statistics of the system, we find the completely…

Quantum Physics · Physics 2019-05-01 Dong-Yang Wang , Cheng-Hua Bai , Shutian Liu , Shou Zhang , Hong-Fu Wang

This paper concerns the time-harmonic direct and inverse elastic scattering by an extended rigid elastic body surrounded by a finite number of point-like obstacles. We first justify the point-interaction model for the Lam\'{e} operator…

Mathematical Physics · Physics 2019-11-26 Guanghui Hu , Andrea Mantile , Mourad Sini , Tao Yin

We show that PT-symmetry may exist only for isolated frequencies in optical systems. Therefore, PT-symmetry breaking transitions as the frequency is tuned up, discussed in Y. D. Chong, L. Ge, and A. D. Stone, Phys. Rev. Lett. 106, 093902…

Materials Science · Physics 2012-05-15 A. A. Zyablovsky , A. P. Vinogradov , A. V. Dorofeenko , A. A. Pukhov , A. A. Lisyansky

In optical imaging, light propagation is affected by the inhomogeneities of the medium. Sample-induced aberrations and multiple scattering can strongly degrade the image resolution and contrast. Based on a dynamic correction of the incident…

One-dimensional scattering mediated by non-Hermitian Hamiltonians is studied. A schematic set of models is used which simulate two point interactions at a variable strength and distance. The feasibility of the exact construction of the…

Quantum Physics · Physics 2008-06-26 Miloslav Znojil

Non-Hermitian photonic systems capable of perfectly absorbing incident radiation recently attracted much attention both because fundamentally they correspond to an exotic scattering phenomenon (a real-valued scattering matrix zero) and…

Classical Physics · Physics 2021-06-01 Philipp del Hougne , K. Brahima Yeo , Philippe Besnier , Matthieu Davy

We develop the theory of antisymmetric Raman response, defined as the difference between the Raman signals of two scattering geometries related by an exchange of mutually perpendicular incoming and the outgoing photon polarizations. Such…

Strongly Correlated Electrons · Physics 2026-05-04 Mattia Udina , Indranil Paul

We provide a description of the parity space reflection-time reversal (PT) operator acting on the two-dimensional polarization space of light represented by the linear algebra of Jones vectors and matrices. We establish the form of a…

Optics · Physics 2023-12-22 Jean-François Bisson

Wave-particle duality finds a natural application for electrons or light propagating in disordered media where coherent corrections to transport are given by two-wave interference. For scatterers with internal degrees of freedom, these…

Quantum Physics · Physics 2011-03-15 Christian Miniatura , Cord A. Müller , Yin Lu , Guangquan Wang , Berthold-Georg Englert

We propose a novel scheme for asymmetric light diffraction of a weak probe field into a one-dimensional (1D) and two-dimensional (2D) lattice occupied with cold atoms. The atoms are driven into the double lambda-type configuration by a…

Quantum Physics · Physics 2020-10-12 Ali Akbar Naeimi , Elham Darabi , Ali Mortezapour , Ghasem Naeimi

We present a systematic formulation of scattering theory for nonlinear interactions in one dimension and develop a nonlinear generalization of the transfer matrix that has a composition property similar to its linear analog's. We offer…

Quantum Physics · Physics 2019-01-25 Ali Mostafazadeh

The surface states of intrinsic higher order topological phases are protected by the spatial symmetries of a finite sample. This property makes the existing scattering theory of topological invariants inapplicable because the scattering…

Mesoscale and Nanoscale Physics · Physics 2025-08-27 R. Johanna Zijderveld , Isidora Araya Day , Anton R. Akhmerov

Exotic forms of wave control have been emerging by engineering matter in space and time. In this framework, temporal photonic interfaces, i.e., abrupt changes in the electromagnetic properties of a material, have been shown to induce…

One of the central ideas regarding anomalies in topological phases of matter is that they imply the existence of higher-dimensional physics, with an anomaly in a D-dimensional theory typically being cancelled by a bulk (D+1)-dimensional…

Strongly Correlated Electrons · Physics 2016-12-08 Ethan Lake

In recent years, extensive research has been dedicated to the study of parity-time ($\mathcal{PT}$) symmetry, which involves the engineered balance of gain and loss in non-Hermitian optics. Complementary to $\mathcal{PT}$ symmetry, the…

Optics · Physics 2025-06-05 Bo-Wang Zhang , Cheng Shang , J. Y. Sun , Zhuo-Cheng Gu , X. X. Yi

Random scattering of light in disordered media is an intriguing phenomenon of fundamental relevance to various applications. While techniques such as wavefront shaping and transmission matrix measurements have enabled remarkable progress…

Crossing symmetry asserts that particles are indistinguishable from anti-particles traveling back in time. In quantum field theory, this statement translates to the long-standing conjecture that probabilities for observing the two scenarios…

High Energy Physics - Theory · Physics 2021-08-05 Sebastian Mizera

Hourglass dispersion is generally believed to be solely protected by nonsymmorphic symmetries, because these symmetries can introduce high-dimensional projective representations. Here, based on symmetry arguments, we propose that the…

Materials Science · Physics 2021-08-11 Baobing Zheng , Fangyang Zhan , Xiaozhi Wu , Rui Wang , Jing Fan

We provide a complete and exact quantum description of coherent light scattering in a one-dimensional multi-mode transmission line coupled to a two-level emitter. Using recently developed scattering approach we discuss transmission…

Quantum Physics · Physics 2015-07-07 Mikhail Pletyukhov , Vladimir Gritsev