Emergence of unidirectionality and phase separation in optically dense emitter ensembles

• URL: http://arxiv.org/abs/2412.14930v1
• Date: Thu, 19 Dec 2024 15:07:22 GMT
• Title: Emergence of unidirectionality and phase separation in optically dense emitter ensembles
• Authors: Kasper J. Kusmierek, Max Schemmer, Sahand Mahmoodian, Klemens Hammerer,
• Abstract summary: We study the transmission of light through an ensemble of two-level emitters in a one-dimensional geometry. We find in the thermodynamic limit the emergence of phase separation with a critical value that depends on the degree of spatial order. We conclude that a large class of effective one-dimensional systems can be effectively modeled using a unidirectional waveguide approach.
• Score: 0.0
• License:
• Abstract: The transmission of light through an ensemble of two-level emitters in a one-dimensional geometry is commonly described by one of two emblematic models of quantum electrodynamics (QED): the driven-dissipative Dicke model or the Maxwell-Bloch equations. Both exhibit distinct features of phase transitions and phase separations, depending on system parameters such as optical depth and external drive strength. Here, we explore the crossover between these models via a parent spin model from bidirectional waveguide QED, by varying positional disorder among emitters. Solving mean-field equations and employing a second-order cumulant expansion for the unidirectional model -- equivalent to the Maxwell-Bloch equations -- we study phase diagrams, the emitter's inversion, and transmission depending on optical depth, drive strength, and spatial disorder. We find in the thermodynamic limit the emergence of phase separation with a critical value that depends on the degree of spatial order but is independent of inhomogeneous broadening effects. Even far from the thermodynamic limit, this critical value marks a special point in the emitter's correlation landscape of the unidirectional model and is also observed as a maximum in the magnitude of inelastically transmitted photons. We conclude that a large class of effective one-dimensional systems without tight control of the emitter's spatial ordering can be effectively modeled using a unidirectional waveguide approach.

Related papers

• Qualitatively altered driven Dicke superradiance in extended systems due to infinitesimal perturbations [0.0]
  The driven Dicke model, with interesting quantum phases induced by parameterized driving, has been intensively studied in cavities. We simulate superconducting qubits coupled to a 1D waveguide as the extended system and theoretically investigate four kinds of perturbations.
  arXiv  Detail & Related papers  (2024-08-09T08:35:15Z)
• Passive photonic CZ gate with two-level emitters in chiral multi-mode waveguide QED [41.94295877935867]
  We design a passive conditional gate between co-propagating photons using an array of only two-level emitters. The key resource is to harness the effective photon-photon interaction induced by the chiral coupling of the emitter array to two waveguide modes. We show how to harness this non-linear phase shift to engineer a conditional, deterministic photonic gate in different qubit encodings.
  arXiv  Detail & Related papers  (2024-07-08T18:00:25Z)
• Unveiling photon-photon coupling induced transparency and absorption [0.0]
  This study presents the theoretical foundations of an analogous electromagnetically induced transparency (EIT) and absorption (EIA) respectively. We provide a concise phenomenological description with analytical expressions for transmission spectra and dispersion elucidating how the interplay of coherent and dissipative interactions in a coupled system results in the emergence of level repulsion and attraction, corresponding to CIT and CIA, respectively.
  arXiv  Detail & Related papers  (2024-06-28T09:18:30Z)
• Photoinduced prethermal order parameter dynamics in the two-dimensional large-$N$ Hubbard-Heisenberg model [77.34726150561087]
  We study the microscopic dynamics of competing ordered phases in a two-dimensional correlated electron model. We simulate the light-induced transition between two competing phases.
  arXiv  Detail & Related papers  (2022-05-13T13:13:31Z)
• Modeling of Multimodal Scattering by Conducting Bodies in Quantum Optics: the Method of Characteristic Modes [0.0]
  We give the quantum adaptation of the characteristic mode approach widely used in the classical electrodynamics. We show how scattering affects quantum-statistical features of the field. We expect that this method will be useful for designing quantum-optical devices.
  arXiv  Detail & Related papers  (2021-12-17T14:25:59Z)
• Quantum correlations, entanglement spectrum and coherence of two-particle reduced density matrix in the Extended Hubbard Model [62.997667081978825]
  We study the ground state properties of the one-dimensional extended Hubbard model at half-filling. In particular, in the superconducting region, we obtain that the entanglement spectrum signals a transition between a dominant singlet (SS) to triplet (TS) pairing ordering in the system.
  arXiv  Detail & Related papers  (2021-10-29T21:02:24Z)
• Geometric phase in a dissipative Jaynes-Cummings model: theoretical explanation for resonance robustness [68.8204255655161]
  We compute the geometric phases acquired in both unitary and dissipative Jaynes-Cummings models. In the dissipative model, the non-unitary effects arise from the outflow of photons through the cavity walls. We show the geometric phase is robust, exhibiting a vanishing correction under a non-unitary evolution.
  arXiv  Detail & Related papers  (2021-10-27T15:27:54Z)
• Qubit-photon bound states in topological waveguides with long-range hoppings [62.997667081978825]
  Quantum emitters interacting with photonic band-gap materials lead to the appearance of qubit-photon bound states. We study the features of the qubit-photon bound states when the emitters couple to the bulk modes in the different phases. We consider the coupling of emitters to the edge modes appearing in the different topological phases.
  arXiv  Detail & Related papers  (2021-05-26T10:57:21Z)
• Collective radiation from distant emitters [63.391402501241195]
  We show that the spectrum of the radiated field exhibits non-Markovian features such as linewidth broadening beyond standard superradiance. We discuss a proof-of-concept implementation of our results in a superconducting circuit platform.
  arXiv  Detail & Related papers  (2020-06-22T19:03:52Z)
• Hyperentanglement in structured quantum light [50.591267188664666]
  Entanglement in high-dimensional quantum systems, where one or more degrees of freedom of light are involved, offers increased information capacities and enables new quantum protocols. Here, we demonstrate a functional source of high-dimensional, noise-resilient hyperentangled states encoded in time-frequency and vector-vortex structured modes. We generate highly entangled photon pairs at telecom wavelength that we characterise via two-photon interference and quantum state tomography, achieving near-unity visibilities and fidelities.
  arXiv  Detail & Related papers  (2020-06-02T18:00:04Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.