The problem of the reflectance of a photon by a metallic mirror whose position is treated quantum mechanically is considered. The interaction between the metallic surface and the light is treated classically. It is shown that the reflectance depends on the spread of the wavefunction describing the reflecting surface along its normal. Considering this decrease on the mirror reflectance, it is shown by first principles that it is impossible to achieve a highly entangled state between a photon and a mirror when the photon can be reflected only once.
Excitons in a semiconductor monolayer form a collective resonance that can reflect resonant light with extraordinarily high efficiency. Here, we investigate the nonlinear optical properties of such atomistically thin mirrors and show that finite-range interactions between excitons can lead to the generation of highly non-classical light. We describe two scenarios, in which optical nonlinearities arise either from direct photon coupling to excitons in excited Rydberg states or from resonant two-photon excitation of Rydberg excitons with finite-range interactions. The latter case yields conditio…
While the levitating mirror has seen renewed interest lately, relatively little is known about its quantum behaviour. In this paper we present a quantum theory of a one dimensional levitating mirror. The mirror forms a part of a Fabry-Perot cavity where the circulating intracavity field supports the mirror through radiation pressure alone. We find a blue and red detuned steady-state of which only the blue detuned solution with damping on the mirror and cavity is stable. We find strong entanglement (15-20 ebits) between the mirror output and cavity output and squeezing in the mirror position.
Mirror-Field Entanglement in a Microscopic model for Quantum Optomechanics
我们使用Galley，Behunin和Hu [Phys. Rev. A 87，043832（2013）]提出的微扰振荡器场（MOF）模型来描述镜的质心（CoM）运动和场之间的量子纠缠。在传统的方法中，镜场纠缠被理解为由光场的辐射压力引起的反射镜的CoM的运动，相比之下，MOF模型结合了直接耦合到光场的反射镜的内部自由度的动态。这种方法的主要优点是它提供了三个相关子系统（镜子的CoM运动，其内部自由度和场）的自洽处理，包括它们彼此之间的反作用，从而更准确地说明各个子系统之间的量子相关性。在不对场附加任何边界条件的情况下，获得了由镜与量子场的动态相互作用所产生的镜的光学和机械性质，而不像传统方法那样对场附加任何边界条件。作为从耦合光学和力学行为的这种自洽处理中产生的新的物理特征之一，我们观察到量子关联通过其内部自由度从场到镜的相干转移。我们发现在内部自由度上粗粒化时，光场与镜面质心运动之间存在量子纠缠。此外，我们表明，在某些参数制度的镜场纠缠增强时，场相互作用与镜子的内部自由度共振，一个新的结果，突出了包括在量子光学力学研究的重要性的内部结构的镜子。
Spontaneous Emission in the presence of Quantum Mirrors
Wyant College of Optical Sciences and Department of Physics, University of Arizona（亚利桑那大学怀雅特光学科学学院和物理系）；Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Concepción（康塞普西翁大学理学院物理数学系物理系）
The local observables of the quantised electromagnetic field near a mirror-coated interface depend strongly on the properties of the media on {\em both} sides. In macroscopic quantum electrodynamics, this fact is taken into account with the help of optical Green's functions which correlate the position of an observer with all other spatial positions and photon frequencies. Here we present an alternative, more intuitive approach and obtain the local field observables with the help of a quantum mirror image detector method [Furtak-Wells et al., Phys. Rev. A 97, 043827 (2018)]. In order to correc…
We investigate the effect of time-dependent boundary conditions on the dynamics of a quantum bouncer -- a particle falling in a homogeneous gravitational field on a moving mirror. We examine more particularly the way a moving mirror modifies the properties of the entire wavefunction of a falling particle. We find that some effects, such as the fact that a quantum particle hitting a moving mirror may bounce significantly higher than when the mirror is fixed, are in line with classical intuition. Other effects, such as the change in relative phases or in the current density in spatial regions ar…
Motivated by the fact that the null-shell of a collapsing black hole can be described by a perfectly reflecting accelerating mirror, we investigate an extension of this model to mirror semi-transparency and derive a general implicit expression for the corresponding Bogoliubov coefficients. Then, we turn this into an explicit analytical form by focusing on mirrors that are accelerated via an impulsive force. From the so-obtained Bogoliubov coefficients we derive the particle production. Finally, we realize the field coming from left-past spacetime region, passing through the semitransparent mov…
Quantum tomography is an essential experimental tool for testing any quantum technology implementations. Transverse spatial quantum states of light play a key role in many experiments in the field of quantum information as well as in free-space optical communications. In this letter we propose and experimentally demonstrate the tomography of spatial quantum states with a deformable mirror. It may be used to significantly outperform the conventional method with a spatial light modulator (SLM) in terms of speed and efficiency, at the same time providing polarization insensitive operation.
The efficient excitation of quantum sources such as quantum dots or single molecules requires high NA optics which is often a challenge in cryogenics, or in ultrafast optics. Here we propose a 3.2 um wide parabolic mirror, with a 0.8 um focal length, fabricated by direct laser writing on CdSe/CdS colloidal quantum dots, capable of focusing the excitation light to a sub-wavelength spot and to extract the generated emission by collimating it into a narrow beam. This mirror is fabricated via in-situ volumetric optical lithography, which can be aligned to individual emitters, and it can be easily …
We find the quantum power emitted and distribution in $3+1$-dimensions of relativistic acceleration radiation using a single perfectly reflecting mirror via Lorentz invariance demonstrating close analogies to point charge radiation in classical electrodynamics.
Dynamical quantum phase transitions (DQPTs) are topologically characterized in quantum quench dynamics in topological systems. In this paper, we study Loschmidt amplitudes and DQPTs in quantum quenches in mirror-symmetric topological phases. Based on the topological classification of mirror-symmetric insulators, we show that mirror symmetry creates symmetry-protected DQPTs. If mirror symmetry is present, topologically robust DQPTs can occur in quantum quenches, even in high-dimensional time-reversal invariant systems. Then, we also show that symmetry-protected DQPTs occur in quenches in two-di…
