Dipolar bilayer with antiparallel polarization: A self-bound liquid

Hebenstreit, Martin; Rader, Michael; Zillich, Robert E.

doi:10.1103/physreva.93.013611

Cited by 18 publications

(43 citation statements)

References 35 publications

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“…Then using the correlated basis function (CBF) method they obtained its dynamical properties. It has been also suggested that a bilayer system of dipolar bosons becomes a self-bound fluid when the polarization of dipoles in two layers is opposite [39]. More recently, the competition between single-dipole and dimer condensation in a bilayer of perpendicular dipolar bosons with parallel polarization, i.e.…”

Section: Introductionmentioning

confidence: 99%

Density-wave instability and collective modes in a bilayer system of antiparallel dipoles

2018

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We consider a bilayer of dipolar particles in which the polarization of dipoles is perpendicular to the planes, in the antiparallel configuration. Using accurate static structure factor ( ) S q data from hypernetted-chain (HNC) and Fermi HNC calculations, respectively for an isolated layer of dipolar bosons and dipolar fermions, we construct effective screened intralayer interactions. Adopting the random-phase approximation for interlayer interactions, we investigate the instability of these homogeneous bilayer systems towards the formation of density waves by studying the poles of the density-density response function. We have also studied the collective modes of these systems and find that the dispersion of their antisymmetric collective mode signals the emergence of the density wave instability as well.

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Section: Introductionmentioning

confidence: 99%

Density-wave instability and collective modes in a bilayer system of antiparallel dipoles

2018

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“…The ground state can be obtained, for example, from quantum Monte Carlo simulations. This provides exact ground state properties of dipolar quantum gases [22][23][24][38][39][40][41] , but it would be computationally very demanding for the large number of layers that we study in this work. For the fairly low partial denstities ρ α that we consider here, it is sufficient to use approximate methods.…”

Section: Correlated Basis Function Theorymentioning

confidence: 99%

“…In a previous work, 24 we presented energetic and structural results for the liquid-like ground state of two 2D dipolar Bose gas layers (with anti-parallel polarization), using the multi-component generalization of the hypernetted chain Euler-Lagrange (HNC-EL) method. [25][26][27][28][29][30] In Ref.…”

Section: -23mentioning

confidence: 99%

“…24 where we used this ansatz for a dipolar bilayer. For the dynamics we need structural quantities like the pair distribution function…”

Section: Correlated Basis Function Theorymentioning

confidence: 99%

“…[25][26][27][28][29][30] In Ref. 24 we also discussed the speed of sound, i. e. the long wave-length limit of collective excitations, for which we used the Bijl-Feynman (BF) approximation, which gives reasonable results in the long wave-length limit. However, the BF energies start to deviate from the exact excitation energies as the wave number increases, and arXiv:1611.04757v1 [cond-mat.quant-gas] 15 Nov 2016 it also does not account for broadening due to coupling between excitations.…”

Section: -23mentioning

confidence: 99%

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Multicomponent correlated-basis-function method and its application to multilayered dipolar Bose gases

2017

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We present a method for calculating the dynamics of a bosonic mixture, the multi-component correlated basis function (CBF) method. For single components, CBF results for the excitation energies agree quite well with experimental results, even for highly correlated systems like 4 He, and recent systematic improvements of CBF achieve perfect agreement. We give a full derivation of multi-component CBF, and apply the method to a dipolar Bose gas cut into two-dimensional layers by a deep optical lattice, with coupling between layers due to the long-ranged dipole-dipole interaction. We consider the case of strong coupling, leading to large positive interlayer correlations. We calculate the spectrum for a system of 8 layers and show that the strong coupling can lead to a simpler spectrum than in the uncoupled case, with a single peak carrying most of the spectral weight.

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The maximally entangled set of 4-qubit states

Spee

Vicente

Kraus

2016

Journal of Mathematical Physics

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Entanglement is a resource to overcome the natural restriction of operations used for state manipulation to Local Operations assisted by Classical Communication (LOCC). Hence, a bipartite maximally entangled state is a state which can be transformed deterministically into any other state via LOCC. In the multipartite setting no such state exists. There, rather a whole set, the Maximally Entangled Set of states (MES), which we recently introduced, is required. This set has on the one hand the property that any state outside of this set can be obtained via LOCC from one of the states within the set and on the other hand, no state in the set can be obtained from any other state via LOCC. Recently, we studied LOCC transformations among pure multipartite states and derived the MES for three and generic four qubit states. Here, we consider the non-generic four qubit states and analyze their properties regarding local transformations. As already the most coarse grained classification, due to Stochastic LOCC (SLOCC), of four qubit states is much richer than in case of three qubits, the investigation of possible LOCC transformations is correspondingly more difficult. We prove that most SLOCC classes show a similar behavior as the generic states, however we also identify here three classes with very distinct properties. The first consists of the GHZ and W class, where any state can be transformed into some other state non-trivially. In particular, there exists no isolation. On the other hand, there also exist classes where all states are isolated. Last but not least we identify an additional class of states, whose transformation properties differ drastically from all the other classes. Although the possibility of transforming states into local-unitary inequivalent states by LOCC turns out to be very rare, we identify those states (with exception of the latter class) which are in the MES and those, which can be obtained (transformed) non-trivially from (into) other states respectively. These investigations do not only identify the most relevant classes of states for LOCC entanglement manipulation, but also reveal new insight into the similarities and differences between separable and LOCC transformations and enable the investigation of LOCC transformations among arbitrary four qubit states. Contents 14 B. A non-zero triple-degenerate eigenvalue 14 C. A double-degenerate non-zero eigenvalue and two different non-degenerate eigenvalues 19 D. Two non-zero double-degenerate eigenvalues 23 1. The case a 2 = ±c 2 and a, c = 0 23 2. The case a 2 = −c 2 and a = 0 23 E. A double-degenerate zero eigenvalue and two different non-degenerate eigenvalues 25 F. A double-degenerate non-zero eigenvalue and a double-degenerate zero eigenvalue 25 IV. The SLOCC classes L abc2 25 A. The SLOCC classes L abc2 for c = 0 25 1. The case a 2 = b 2 = c 2 = a 2 and c = 0 26 2. The case a 2 = c 2 = b 2 and c = 0 27 2 3. The case a 2 = b 2 = c 2 and a, c = 0 28 4. The case a 2 = b 2 = c 2 = 0 29 5. The case a = b = 0 and c = 0 31 B. The SLOCC classes L a...

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Dipolar bilayer with antiparallel polarization: A self-bound liquid

Cited by 18 publications

References 35 publications

Density-wave instability and collective modes in a bilayer system of antiparallel dipoles

Density-wave instability and collective modes in a bilayer system of antiparallel dipoles

Multicomponent correlated-basis-function method and its application to multilayered dipolar Bose gases

The maximally entangled set of 4-qubit states

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