Publications

2022

P.Y. Chen, C. Khandekar, R. Ayash, and Zubin Jacob. 7/21/2022.

Thermal Emission of Spinning Photons from Temperature Gradients

. Physical Review Applied, 18, 1.

The fluctuational electrodynamic investigation of thermal radiation from nonequilibrium or nonisothermal bodies remains largely unexplored because it necessarily requires volume integration over the fluctuating currents inside the emitter, which quickly becomes computationally intractable. Here, we put forth a formalism combining fast calculations based on modal expansion and fluctuational electrodynamics to accelerate research at this frontier. We employ our formalism on a sample problem: a long silica wire held under temperature gradient within its cross section. We discover that the far-field thermal emission carries a nonzero spin, which is constant in direction and sign, and interestingly, is transverse to the direction of the power flow. We clearly establish the origin of this transverse spin as arising from the nonequilibrium intermixing of the cylindrical modes of the wire, and not from any previously studied or intuitively expected origins such as chiral or nonisotropic materials and geometries, magnetic materials or fields, and mechanical rotations. This finding of nonequilibrium spin texture of emitted heat radiation can prove useful for advancing the noninvasive thermal metrology or infrared-imaging techniques.

Farid Kalhor, Noah F. Opondo, Shoaib Mahmud, Leif Bauer, Li-Ping Yang, and Zubin Jacob. 6/29/2022.

Optically induced static magnetic field in the ensemble of nitrogen-vacancy centers in diamond

. OSA Publishing, 47, 13, Pp. 3347-3350.

Generation of a local magnetic field at the nanoscale is desirable for many applications such as spin-qubit-based quantum memories. However, this is a challenge due to the slow decay of static magnetic fields. Here, we demonstrate a photonic spin density (PSD)-induced effective static magnetic field for an ensemble of nitrogen-vacancy (NV) centers in bulk diamond. This locally induced magnetic field is a result of coherent interaction between the optical excitation and the NV centers. We demonstrate an optically induced spin rotation on the Bloch sphere exceeding 10 degrees which has potential applications in all-optical coherent control of spin qubits.

Li-Ping Yang, Farhad Khosravi, and Zubin Jacob. 5/31/2022. Quantum field theory for the spin operator of the photon. Physical Review Research, 4, 2, Pp. 023165.

All elementary particles in nature can be classified as fermions with half-integer spin and bosons with integer
spin. Within quantum electrodynamics (QED), even though the spin of the Dirac particle is well defined, there
exist open questions on the quantized description of the spin of the gauge field particle—the photon. Using quantum field theory, we discover the quantum operators for the spin angular momentum (SAM) SM = (1/c) d3xπ × A and orbital angular momentum (OAM) LM = −(1/c) d3xπμx × ∇Aμ of the photon, where πμ is the conjugate canonical momentum of the gauge field Aμ. We also reveal a perfect symmetry between the angular momentum commutation relations for Dirac fields and Maxwell fields. We derive the well-known OAM and SAM of classical electromagnetic fields from the above-defined quantum operators. Our work shows that the spin and OAM operators commute, which is important for simultaneously observing and separating the SAM and OAM. The correct commutation relations of orbital and spin angular momentum of the photon have applications in quantum optics, topological photonics as well as nanophotonics and can be extended in the future for the spin structure of nucleons.

Xueji Wang, Tyler Sentz, Sathwik Bharadwaj, Yifan Wang, Limei Qi, and Zubin Jacob. 5/12/2022. Observation of Non-vanishing Optical Helicity in Thermal Radiation from Symmetry-Broken Metasurfaces. arXiv.

Thermal radiation is traditionally an incoherent radiative signal, where the radiated heat is highly unpolarized, spectrally broad, and omnidirectional. The recent extensive interests in thermal photonics focus on tailoring the temporal coherence (spectrum) and spatial coherence (directivity) of thermal radiation. Here, we investigate the photon spin characteristics of the radiation excited by thermal fluctuations using a symmetrybroken metasurface. Utilizing spin-polarized angle-resolved thermal emission spectroscopy (SPARTES), we explicitly show when both mirror- and inversion- symmetries are broken, the summation of spin-angular momentum projected on wavevectors, namely the optical helicity, can be non-vanishing even without applying a magnetic field. We find the photon spin and the energy-momentum dispersion of thermal radiation can be effectively tailored through symmetry engineering. Our results firmly suggest the symmetry-based strategy provides a general pathway for comprehensively controlling the temporal, spatial, and especially spin coherence of thermal radiation.

Farid Kalhor, Noah F. Opondo, Shoaib Mahmud, Leif Bauer, Li-Ping Yang, and Zubin Jacob. 5/6/2022. Optically induced static magnetic field in the ensemble of nitrogen-vacancy centers in diamond. arXiv.

Generation of local magnetic field at the nanoscale is desired for many applications such as spinqubit-based quantum memories. However, this is a challenge due to the slow decay of static magnetic fields. Here, we demonstrate photonic spin density (PSD) induced effective static magnetic field for an ensemble of nitrogen-vacancy (NV) centers in bulk diamond. This locally induced magnetic field is a result of coherent interaction between the optical excitation and the NV centers. We demonstrate an optically induced spin rotation on the Bloch sphere exceeding 10 degrees which has potential applications in all optical coherent control of spin qubits.

Todd Van Mechelen, Sathwik Bharadwaj, and Zubin Jacob. 4/5/2022.

Optical N-insulators: Topological obstructions to optical Wannier functions in the atomistic susceptibility tensor

. Physical Review Research, 4, 2.

A powerful result of topological band theory is that nontrivial phases manifest obstructions to constructing
localized Wannier functions. In Chern insulators, it is impossible to construct Wannier functions that respect
translational symmetry in both directions. Similarly, Wannier functions that respect time-reversal symmetry
cannot be formed in quantum spin Hall insulators. This molecular orbital interpretation of topology has been
enlightening and was recently extended to topological crystalline insulators which include obstructions tied to
space-group symmetries. In this paper, we introduce a class of two-dimensional topological materials known
as optical N-insulators that possess obstructions to construct localized molecular polarizabilities. The optical
N-invariant N ∈ Z is the winding number of the atomistic susceptibility tensor χ and counts the number of
singularities in the electromagnetic linear response theory. We decipher these singularities by analyzing the
optical band structure of the material—the eigenvectors of the susceptibility tensor—which constitutes the
collection of optical Bloch functions. The localized basis of these eigenvectors is optical Wannier functions
which characterize the molecular polarizabilities at different lattice sites. We prove that in a nontrivial optical
phase N = 0, such a localized polarization basis is impossible to construct. Utilizing the mathematical machinery
of K theory, these optical N-phases are refined further to account for the underlying crystalline symmetries of
the material, generating a complete classification of the topological electromagnetic phase of matter.

Zohreh Poursoti, Wenbo Sun, Sathwik Bharadwaj, and Zubin Jacob. 3/31/2022. Deep ultra-violet plasmonics: exploiting momentum-resolved electron energy loss spectroscopy to probe germanium. Optics Express, 30, 8, Pp. 12630-12638.

Germanium is typically used for solid-state electronics, fiber-optics, and infrared applications, due to its semiconducting behavior at optical and infrared wavelengths. In contrast, here we show that the germanium displays metallic nature and supports propagating surface plasmons in the deep ultraviolet (DUV) wavelengths, that is typically not possible to achieve with conventional plasmonic metals such as gold, silver, and aluminum. We measure the photonic band spectrum and distinguish the plasmonic excitation modes: bulk plasmons, surface plasmons, and Cherenkov radiation using a momentum-resolved electron energy loss spectroscopy. The observed spectrum is validated through the macroscopic electrodynamic electron energy loss theory and first-principles density functional theory calculations. In the DUV regime, intraband transitions of valence electrons dominate over the interband transitions, resulting in the observed highly dispersive surface plasmons. We further employ these surface plasmons in germanium to design a DUV radiation source based on the Smith-Purcell effect. Our work opens a new frontier of DUV plasmonics to enable the development of DUV devices such as metasurfaces, detectors, and light sources based on plasmonic germanium thin films.

Vaneet Aggarwal, Vipul Bansal, Dheeraj Peddireddy, and Zubin Jacob. 1/21/2022. Tensor Ring Parametrized Variational Quantum Circuits for Large Scale Quantum Machine Learning. arXiv.

Quantum Machine Learning (QML) is an emerging research area advocating the use of quantum computing for advancement in machine learning. Since the discovery of the capability of Parametrized Variational Quantum Circuits (VQC) to replace Artificial Neural Networks, they have been widely adopted to different tasks in Quantum Machine Learning. However, despite their potential to outperform neural networks, VQCs are limited to small scale applications given the challenges in scalability of quantum circuits. To address this shortcoming, we propose an algorithm that compresses the quantum state within the circuit using a tensor ring representation. Using the input qubit state in the tensor ring representation, single qubit gates maintain the tensor ring representation. However, the same is not true for two qubit gates in general, where an approximation is used to have the output as a tensor ring representation. Using this approximation, the storage and computational time increases linearly in the number of qubits and number of layers, as compared to the exponential increase with exact simulation algorithms. This approximation is used to implement the tensor ring VQC. The training of the parameters of tensor ring VQC is performed using a gradient descent based algorithm, where efficient approaches for backpropagation are used. The proposed approach is evaluated on two datasets: Iris and MNIST for the classification task to show the improved accuracy using more number of qubits. We achieve a test accuracy of 83.33% on Iris dataset and a maximum of 99.30% and 76.31% on binary and ternary classification of MNIST dataset using various circuit architectures. The results from the IRIS dataset outperform the results on VQC implemented on Qiskit, and being scalable, demonstrates the potential for VQCs to be used for large scale Quantum Machine Learning applications.

2021

Zhujing Xu, Xingyu Gao, Jaehoon Bang, Zubin Jacob, and Tongcang Li. 12/13/2021.

Non-reciprocal energy transfer through the Casimir effect

. Nature Nanotechnology.

One of the fundamental predictions of quantum mechanics is the occurrence of random fluctuations in a vacuum caused by zero-point energy. Remarkably, quantum electromagnetic fluctuations can induce a measurable force between neutral objects, known as the Casimir effect1, and it has been studied both theoretically2,3 and experimentally4-9. The Casimir effect can dominate the interaction between microstructures at small separations and is essential for micro-and nanotechnologies10,11. It has been utilized to realize nonlinear oscillation12, quantum trapping13, phonon transfer14,15, and dissipation dilution16. However, a non-reciprocal device based on quantum vacuum fluctuations remains an unexplored frontier. Here we report quantum-vacuum-mediated non-reciprocal energy transfer between two micromechanical oscillators. We parametrically modulate the Casimir interaction to realize a strong coupling between the two oscillators with different resonant frequencies. We engineer the system's spectrum such that it possesses an exceptional point17-20 in the parameter space and explore the asymmetric topological structure in its vicinity. By dynamically changing the parameters near the exceptional point and utilizing the non-adiabaticity of the process, we achieve non-reciprocal energy transfer between the two oscillators with high contrast. Our work demonstrates a scheme that employs quantum vacuum fluctuations to regulate energy transfer at the nanoscale and may enable functional Casimir devices in the future.

See also: Quantum
Mohammad Ali Javidian, Vaneet Aggarwal, and Zubin Jacob. 12/2021. Identification of Latent Graphs: A Quantum Entropic Approach. NeurIPS 12/2021.

Quantum causality is an emerging field of study which has the potential to greatly advance our understanding of quantum systems. In this paper, we put forth a new theoretical framework for merging quantum information science and causal inference by exploiting entropic principles. For this purpose, we leverage the tradeoff between the entropy of hidden cause and conditional mutual information of observed variables to develop a scalable algorithmic approach for inferring causality in the presence of latent confounders (common causes) in quantum systems. As an application, we consider a system of three entangled qubits and transmit the second and third qubits over separate noisy quantum channels. In this model, we validate that the first qubit is a latent confounder and the common cause of the second and third qubits. In contrast, when two entangled qubits are prepared and one of them is sent over a noisy channel, there is no common confounder. We also demonstrate that the proposed approach outperforms the results of classical causal inference for Tubingen database when the variables are classical by exploiting quantum dependence between variables through density matrices rather than joint probability distributions. Thus, the proposed approach unifies classical and quantum causal inference in a principled way.