TY - JOUR A1 - Intravaia, Francesco A1 - Henkel, Carsten T1 - Casimir interaction from magnetically coupled eddy currents N2 - We study the quantum and thermal fluctuations of eddy (Foucault) currents in thick metallic plates. A Casimir interaction between two plates arises from the coupling via quasistatic magnetic fields. As a function of distance, the relevant eddy current modes cross over from a quantum to a thermal regime. These modes alone reproduce previously discussed thermal anomalies of the electromagnetic Casimir interaction between good conductors. In particular, they provide a physical picture for the Casimir entropy whose nonzero value at zero temperature arises from a correlated, glassy state. Y1 - 2009 UR - http://prl.aps.org/ U6 - https://doi.org/10.1103/Physrevlett.103.130405 SN - 0031-9007 ER - TY - JOUR A1 - Ben-Abdallah, Philippe A1 - Messina, Riccardo A1 - Biehs, Svend-Age A1 - Tschikin, Maria A1 - Joulain, Karl A1 - Henkel, Carsten T1 - Heat superdiffusion in plasmonic nanostructure networks JF - Physical review letters N2 - The heat transport mediated by near-field interactions in networks of plasmonic nanostructures is shown to be analogous to a generalized random walk process. The existence of superdiffusive regimes is demonstrated both in linear ordered chains and in three-dimensional random networks by analyzing the asymptotic behavior of the corresponding probability distribution function. We show that the spread of heat in these networks is described by a type of Levy flight. The presence of such anomalous heat-transport regimes in plasmonic networks opens the way to the design of a new generation of composite materials able to transport heat faster than the normal diffusion process in solids. Y1 - 2013 U6 - https://doi.org/10.1103/PhysRevLett.111.174301 SN - 0031-9007 SN - 1079-7114 VL - 111 IS - 17 PB - American Physical Society CY - College Park ER - TY - JOUR A1 - Bimonte, Giuseppe A1 - Haakh, Harald Richard A1 - Henkel, Carsten A1 - Intravaia, Francesco T1 - Optical BCS conductivity at imaginary frequencies and dispersion energies of superconductors N2 - We present an efficient expression for the analytic continuation to arbitrary complex frequencies of the complex optical and ac conductivity of a homogeneous superconductor with an arbitrary mean free path. Knowledge of this quantity is fundamental in the calculation of thermodynamic potentials and dispersion energies involving type-I superconducting bodies. When considered for imaginary frequencies, our formula evaluates faster than previous schemes involving Kramers-Kronig transforms. A number of applications illustrate its efficiency: a simplified low-frequency expansion of the conductivity, the electromagnetic bulk self-energy due to longitudinal plasma oscillations, and the Casimir free energy of a superconducting cavity. Y1 - 2010 UR - http://iopscience.iop.org/1751-8121/ U6 - https://doi.org/10.1088/1751-8113/43/14/145304 SN - 1751-8113 ER - TY - JOUR A1 - Schiefele, Jürgen A1 - Henkel, Carsten T1 - Casimir energy of a BEC : from moderate interactions to the ideal gas N2 - Considering the Casimir effect due to phononic excitations of a weakly interacting dilute Bose-Einstein condensate ( BEC), we derive a renormalized expression for the zero-temperature Casimir energy E-C of a BEC confined to a parallel plate geometry with periodic boundary conditions. Our expression is formally equivalent to the free energy of a bosonic field at finite temperature, with a nontrivial density of modes that we compute analytically. As a function of the interaction strength, E-C smoothly describes the transition from the weakly interacting Bogoliubov regime to the non- interacting ideal BEC. For the weakly interacting case, E-C reduces to leading order to the Casimir energy due to zero- point fluctuations of massless phonon modes. In the limit of an ideal Bose gas, our result correctly describes the Casimir energy going to zero. Y1 - 2009 UR - http://iopscience.iop.org/1751-8121/ U6 - https://doi.org/10.1088/1751-8113/42/4/045401 SN - 1751-8113 ER - TY - JOUR A1 - Ostermeyer, Martin A1 - Korn, Dietmar A1 - Puhlmann, Dirk A1 - Henkel, Carsten A1 - Eisert, Jens T1 - Two-dimensional characterization of spatially entangled photon pairs N2 - We characterize the entanglement in position and momentum of photon pairs generated in type-II parametric down- conversion. Coincidence maps of the photon positions in the near-field and far-field planes are observed in two transverse dimensions using scanning fiber probes. We estimate the covariance matrix of an effective two-mode system and apply criteria for entanglement based on covariance matrices to certify space-momentum entanglement. The role of higher- order spatial modes for observing spatial entanglement between the two photons is discussed. Y1 - 2009 UR - http://www.informaworld.com/openurl?genre=journal&issn=0950-0340 U6 - https://doi.org/10.1080/09500340903359962 SN - 0950-0340 ER - TY - JOUR A1 - Haakh, Harald Richard A1 - Intravaia, Francesco A1 - Henkel, Carsten T1 - Temperature dependence of the plasmonic Casimir interaction N2 - We investigate the role of surface plasmons in the electromagnetic Casimir effect at finite temperature, including situations out of global thermal equilibrium. The free energy is calculated analytically and expanded for different regimes of distances and temperatures. Similar to the zero-temperature case, the interaction changes from attraction to repulsion with distance. Thermal effects are shown to be negligible for small plate separations and at room temperature but become dominant and repulsive at large values of these parameters. In configurations out of global thermal equilibrium, we show that the selective excitation of surface plasmons can create a repulsive Casimir force between metal plates. Y1 - 2010 UR - http://pra.aps.org/ U6 - https://doi.org/10.1103/Physreva.82.012507 SN - 1050-2947 ER - TY - JOUR A1 - Mkrtchian, Vanik E. A1 - Henkel, Carsten T1 - Green function solution of generalised boundary value problems JF - Physics Letters A N2 - We construct an expression for the Green function of a differential operator satisfying nonlocal, homogeneous boundary conditions starting from the fundamental solution of the differential operator. This also provides the solution to the boundary value problem of an inhomogeneous partial differential equation with inhomogeneous, nonlocal boundary conditions. The construction applies for a broad class of linear partial differential equations and linear boundary conditions. KW - Boundary value problem KW - Green function Y1 - 2020 U6 - https://doi.org/10.1016/j.physleta.2020.126573 SN - 0375-9601 SN - 1873-2429 SN - 0031-9163 VL - 384 IS - 23 PB - Elsevier CY - Amsterdam ER - TY - JOUR A1 - Cockburn, S. P. A1 - Negretti, Antonio A1 - Proukakis, N. P. A1 - Henkel, Carsten T1 - Comparison between microscopic methods for finite-temperature Bose gases JF - Physical review : A, Atomic, molecular, and optical physics N2 - We analyze the equilibrium properties of a weakly interacting, trapped quasi-one-dimensional Bose gas at finite temperatures and compare different theoretical approaches. We focus in particular on two stochastic theories: a number-conserving Bogoliubov (NCB) approach and a stochastic Gross-Pitaevskii equation (SGPE) that have been extensively used in numerical simulations. Equilibrium properties like density profiles, correlation functions, and the condensate statistics are compared to predictions based upon a number of alternative theories. We find that due to thermal phase fluctuations, and the corresponding condensate depletion, the NCB approach loses its validity at relatively low temperatures. This can be attributed to the change in the Bogoliubov spectrum, as the condensate gets thermally depleted, and to large fluctuations beyond perturbation theory. Although the two stochastic theories are built on different thermodynamic ensembles (NCB, canonical; SGPE, grand-canonical), they yield the correct condensate statistics in a large Bose-Einstein condensate (BEC) (strong enough particle interactions). For smaller systems, the SGPE results are prone to anomalously large number fluctuations, well known for the grand-canonical, ideal Bose gas. Based on the comparison of the above theories to the modified Popov approach, we propose a simple procedure for approximately extracting the Penrose-Onsager condensate from first-and second-order correlation functions that is both computationally convenient and of potential use to experimentalists. This also clarifies the link between condensate and quasicondensate in the Popov theory of low-dimensional systems. Y1 - 2011 U6 - https://doi.org/10.1103/PhysRevA.83.043619 SN - 1050-2947 SN - 1094-1622 VL - 83 IS - 4 PB - American Physical Society CY - College Park ER - TY - JOUR A1 - Intravaia, F. A1 - Behunin, R. O. A1 - Henkel, Carsten A1 - Busch, K. A1 - Dalvit, D. A. R. T1 - Failure of Local Thermal Equilibrium in Quantum Friction JF - Physical review letters N2 - Recent progress in manipulating atomic and condensed matter systems has instigated a surge of interest in nonequilibrium physics, including many-body dynamics of trapped ultracold atoms and ions, near-field radiative heat transfer, and quantum friction. Under most circumstances the complexity of such nonequilibrium systems requires a number of approximations to make theoretical descriptions tractable. In particular, it is often assumed that spatially separated components of a system thermalize with their immediate surroundings, although the global state of the system is out of equilibrium. This powerful assumption reduces the complexity of nonequilibrium systems to the local application of well-founded equilibrium concepts. While this technique appears to be consistent for the description of some phenomena, we show that it fails for quantum friction by underestimating by approximately 80% the magnitude of the drag force. Our results show that the correlations among the components of driven, but steady-state, quantum systems invalidate the assumption of local thermal equilibrium, calling for a critical reexamination of this approach for describing the physics of nonequilibrium systems. Y1 - 2016 U6 - https://doi.org/10.1103/PhysRevLett.117.100402 SN - 0031-9007 SN - 1079-7114 VL - 117 SP - 989 EP - 1010 PB - American Physical Society CY - College Park ER - TY - JOUR A1 - Intravaia, F. A1 - Behunin, R. O. A1 - Henkel, Carsten A1 - Busch, K. A1 - Dalvit, D. A. R. T1 - Non-Markovianity in atom-surface dispersion forces JF - Physical review : A, Atomic, molecular, and optical physics N2 - We discuss the failure of the Markov approximation in the description of atom-surface fluctuation-induced interactions, both in equilibrium (Casimir-Polder forces) and out of equilibrium (quantum friction). Using general theoretical arguments, we show that the Markov approximation can lead to erroneous predictions of such phenomena with regard to both strength and functional dependencies on system parameters. In particular, we show that the long-time power-law tails of two-time dipole correlations and their corresponding low-frequency behavior, neglected in the Markovian limit, affect the prediction of the force. Our findings highlight the importance of non-Markovian effects in dispersion interactions. Y1 - 2016 U6 - https://doi.org/10.1103/PhysRevA.94.042114 SN - 2469-9926 SN - 2469-9934 VL - 94 PB - American Physical Society CY - College Park ER -