Bulletin of the American Physical Society
APS March Meeting 2023
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session G66: Open Quantum Systems IFocus
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Sponsoring Units: DAMOP Chair: Federico Roccati, University of Luxembourg Room: Room 413 |
Tuesday, March 7, 2023 11:30AM - 12:06PM |
G66.00001: Quantum nonlinear optics based on two-dimensional Rydberg atom arrays Invited Speaker: Darrick Chang We propose the combination of subwavelength, two-dimensional atomic arrays and Rydberg interactions as a powerful platform to realize strong, coherent interactions between individual photons with high fidelity. The atomic spatial ordering guarantees efficient atom-light interactions without the possibility of scattering light into unwanted directions, allowing the array to act as a perfect mirror for individual photons. In turn, Rydberg interactions enable single photons to alter the optical response of the array within a potentially large blockade radius Rb, which can effectively punch a large “hole” for subsequent photons. We show that such a system enables a coherent photon-photon gate or switch, with a significantly better error scaling (∼1/Rb4) than in a disordered ensemble. We also investigate the optical properties of the system in the limit of strong input intensities and show that this many-body quantum driven dissipative system can be modeled well by a semiclassical model based on holes punched in a classical mirror. |
Tuesday, March 7, 2023 12:06PM - 12:18PM |
G66.00002: `Hot Entanglement' Scrutinized: Effects of Parametric Drive, Squeezing, Instability and non-Markovianity Onat Arisoy, Bei-Lok Hu, Jen-Tsung Hsiang Galve et al [1] showed that entanglement between two oscillators each interacting with its own bath can be maintained at high temperatures if their coupling is allowed to be time-dependent. In two papers in preparation [2][3], we consider the four key factors which make `hot entanglement’ possible: 1) Instability: Is the dynamically unstable regime used in Galve et al necessary for sustained entanglement? 2) Squeezing: We show that a fixed squeezing is insufficient to sustain entanglement at high temperatures. 3) Parametric drive by time-dependent coupling is necessary. 4) Non-Markovianity: In Galve et al., the baths are Ohmic, with infinite cutoffs at high temperature, thus the dynamics is Markovian. We consider a Lorentzian spectral density function which shows some intriguing behavior in its effect on entanglement. |
Tuesday, March 7, 2023 12:18PM - 12:30PM |
G66.00003: A One-Dimensional Electron System Coupled to Light Victor E Bradley, Kamal Sharma, Wade DeGottardi, Mohammad Hafezi Light-matter coupling is essential to much of modern quantum technology. While a great deal of theoretical work has investigated small-scale systems in this context, work on quantum coherent effects in many-body systems has been select. In this talk, I will discuss recent theoretical work on a one-dimensional quantum wire weakly coupled to a lossy photonic cavity. We study the evolution of the many-body wave function as photons are emitted. The emission of radiation generates quantum entanglement and as a result the system exhibits superradiance, like that exhibited by the celebrated Dicke model. In general, the relaxation of the electronic system and the emission of radiation arise from a competition between superradiance and Pauli blocking. I will also briefly discuss the role that band curvature and interactions play in these processes. |
Tuesday, March 7, 2023 12:30PM - 12:42PM |
G66.00004: Reformulating third quantization: identifying dissipative symmetries, connections to phase-space, and links to Keldysh field theory Aashish A Clerk, Alexander McDonald Evolving an arbitrary initial state of a system described by a Markovian Lindblad master equation requires finding the full Liouvillian eigenvalues and eigenvectors. Recently, Prosen [1] and Prosen and Seligman [CITE] developed third quantization, a technique which allows one to diagonalize the Lindbladian of quadratic fermionic or bosons systems linearly-coupled to a set of baths. However, it is not immediately clear how this approach is connected to other more standard methods.In this work we reformulate third quantization by demonstrating that it is naturally related to other well-known open quantum system formalisms and tools. We first show that all such models exhibit a dissipative symmetry that, once used, allows for a simple diagonalization procedure. We then demonstrate how the Wigner quasi-probability function and Keldysh field theory emerge in our framework. Our reformulation renders third quantization an overall more powerful tool in the study of open quantum systems. |
Tuesday, March 7, 2023 12:42PM - 12:54PM |
G66.00005: Energy Transfer Dynamics in Polymer Chlorosome Nanocomposites Jaime A Diaz, Alexander W Hardin, Ysaris A Sosa, Gregory Uyeda, Gabriel Montaño, Inès Montaño Open quantum system dynamics study time evolution of a quantum system that interacts with an environment. Theory of open quantum systems has played a major role in applications such as quantum optics, quantum information, and quantum control. With evidence suggesting long-lived quantum coherence in biological light harvesting complexes, efforts have directed to modeling them as open quantum systems. Here, we aim to find a reliable method relevant for studying energy transfer in long-ordered open quantum systems, polymer chlorosome nanocomposites (PCN). PCNs, artificial light harvesting systems, are an ideal candidate for studying energy transfer in open quantum system because PCNs are modifiable and exhibit efficient energy transfer over long distances. In this work, we study how the impact of pigment organization can affect the energy transfer within the PCNs, and how PCN systems can be used as a toolkit to advance our understanding of energy transfer processes in light-harvesting complexes. |
Tuesday, March 7, 2023 12:54PM - 1:06PM |
G66.00006: Time evolution of quasi probability distributions using the variational Monte Carlo approach Debbie Eeltink, Vincenzo Savona, Filippo Vicentini Time evolved quasi-probability distributions in the phase space offer an alternative to solving the Lindblad master equation for open systems in large Hilbert spaces. However, these partial differential equations are prohibitively difficult to integrate numerically in more than a 2d phase space using conventional methods such as finite elements. Facing similar difficulties, variational Monte Carlo approaches combined with machine learning approximations of the quantum wave function have proven successful in both ground state estimations for complex systems and their time evolution [1]. We now employ this variational principle for the time evolution of quasi-probability distributions. We show feasibility examples for the truncated Wigner and Husimi Q functions. |
Tuesday, March 7, 2023 1:06PM - 1:18PM |
G66.00007: Relaxation and time scales in disordered XX model with on-site dephasing Roopayan Ghosh, Marko Znidaric
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Tuesday, March 7, 2023 1:18PM - 1:30PM |
G66.00008: Kitaev Nanoribbon Model with Boundary Dephasing Shunta Kitahama, Hosho Katsura, Naoyuki Shibata In recent years, there has been a growing interest in the study of open quantum systems. Within the Markovian approximation, such systems are described by Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) equation [1, 2]. On the other hand, the Kitaev hon- eycomb model [3], which is known as an exactly solv- able example of a quantum spin liquid, has attracted considerable attention both theoretically and exper- imentally. However, its behavior in the presence of dissipation has not been clarified. |
Tuesday, March 7, 2023 1:30PM - 1:42PM |
G66.00009: Engineering Collective Light-Atom Interactions in Solid State Trevor Kling Collective interactions between atoms have been proposed as one method to improve the performance of photonic quantum technologies. In solids, an ensemble of atoms exhibits inhomogeneous broadening that allows high-bandwidth interactions to be achieved in small crystals. Using optical resonators to reach the strong-coupling regime, in this case, limits the interaction bandwidth imposed by the resonator linewidth. Therefore, exploring interaction mechanisms that enable strong light-atom coupling over a wide range of frequencies is desirable to advance quantum photonic technology and achieve broadband control of quantum optical information. We present developments in the theory of solid-state systems to model collective emissions in an array of atoms coupled to a 1D ring waveguide, focusing on the impact of array properties on collective emissions. We expand upon prior results by considering the influence of an optical cavity and inhomogeneous broadening of the atoms. In particular, these effects are realized in computation of the operators associated with the system and their application to correlation functions.
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Tuesday, March 7, 2023 1:42PM - 1:54PM |
G66.00010: Entanglement preservation in non-Markovian open quantum systems Daria Kowsari, Haimeng Zhang, Xingrui Song, Chandrashekhar Gaikwad, Patrick M Harrington, Weijian Chen, Maryam Abbasi, Serra Erdamar, Eli Levenson-Falk, Kater Murch Dissipation is critical to the function of noisy intermediate-scale quantum processors as it allows for initialization, error correction and other methods of control. Dissipation is also, unfortunately, the source of most errors in these processors. For theoretical simplicity, this dissipation is typically treated as Markovian, yet we know that on some level memory effects of the dissipative bath will contribute to the quantum dynamics. This leads to correlated errors that prevent straightforward approaches to error correction. However, several theoretical studies have identified ways in which non-Markovian dissipation can also provide advantages to quantum processors, particularly in the preservation of entanglement. In this work, we design a multi-qubit superconducting processor consisting of two coupled qubits interacting with a small quantum bath to realize non-Markovian dynamics. By examining the evolution of entangled states of the qubits in the presence of memory induced by the bath, we investigate the parameters required to observe a transition from Markovian to non-Markovian regime and the role of non-Markovianity in the preservation of the entangled states. |
Tuesday, March 7, 2023 1:54PM - 2:06PM |
G66.00011: Harnessing non-Markovian dissipation to control quantum devices Thibaut Lacroix Nanodevices exploiting quantum effects are critically important elements of future quantum technologies (QT), but their real-world performance is strongly limited by decoherence arising from |
Tuesday, March 7, 2023 2:06PM - 2:18PM |
G66.00012: Linear Response Theory of Fermionic Lindbladian Systems Spenser Talkington, Martin Claassen For sufficiently weak external perturbation, the response of a system to that perturbation is usually linear in the perturbation. In closed quantum systems this can be described by the Kubo formalism, but in open systems where energy and particles enter and leave the system the Kubo formalism breaks down. Here we develop a linear response formalism for open quantum systems comprised of fermions governed by the Lindblad master equation. The Lindblad master equation describes the time evolution of a system which captures the quantum processes of decoherence and collapse; these processes are fundamentally different from the classical non-Hermitian processes of gain and loss. Using this formalism we present general expressions that can be used to calculate the optical conductivity and DC electromagnetic response of open fermionic systems. This builds on our previous work where we developed a "single-particle Lindbladian" approach to studying open fermionic systems and derived a flat-band condition under which flat bands form in a broad class of systems. |
Tuesday, March 7, 2023 2:18PM - 2:30PM |
G66.00013: Universal properties of dissipative Tomonaga-Luttinger liquids with SU(N) spin symmetry Kazuki Yamamoto, Norio Kawakami In recent years, open quantum systems have been actively studied both experimentally and theoretically, as exemplified by driven-dissipative systems and non-Hermitian (NH) quantum systems. In this talk, we demonstrate the universal properties of dissipative Tomonaga-Luttinger (TL) liquids with SU(N) spin symmetry, by using asymptotic Bethe-ansatz solutions and conformal field theory (CFT) in one-dimensional NH quantum many-body systems with SU(N) symmetry [1,2]. We uncover that the spectrum of dissipative TL liquids with SU(N) spin symmetry is described by the sum of one charge mode characterized by a complex generalization of c = 1 U(1) Gaussian CFT, and N −1 spin modes characterized by level-1 SU(N) Kac-Moody algebra with the conformal anomaly c = N −1, and thereby dissipation only affects the charge mode as a result of spin-charge separation in one-dimensional NH quantum systems. The derivation is based on a complex generalization of Haldane’s ideal-gas description, which is implemented by the SU(N) Calogero-Sutherland model with inverse-square long-range interactions. |
Tuesday, March 7, 2023 2:30PM - 2:42PM |
G66.00014: Entanglement dynamics in a non-Hermitian quantum system Ken-Ichiro Imura, Takahiro Orito Non-Hermitian quantum mechanics shows various unusual features unknown (and forbidden) in the Hermitian case even at the level of single-particle static properties; e.g., complex spectrum, skin effect, etc. Here, we focus on the many-particle case and study its dynamics. We focus on the time evolution of the entanglement entropy, which measures how quantum correlation spreads in the system. In the regime of weak disorder, i.e., in the extended phase, the entanglement entropy shows a characteristic non-monotonic evolution. The effect of disorder is also non-monotonic with respect to the strength W of disorder [1]; in the regime of weak disorder, it first enhances the entanglement entropy (a very unusual behavior in the mind of Hermitian quantum mechanics), while the strength W of disorder is further increased, the wave function tends to be localized; correspondingly, the entanglement entropy turns to decrease. The robustness of such features against inter-particle interaction will be also discussed. |
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