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Engineered, highly controllable quantum systems are promising simulators of emergent physics beyond the simulation capabilities of classical computers1. An important problem in many-body physics is itinerant magnetism, which originates purely from long-range interactions of free electrons and whose existence in real systems has been debated for decades2,3. Here we use a quantum simulator consisting of a four-electron-site square plaquette of quantum dots4 to demonstrate Nagaoka ferromagnetism5. This form of itinerant magnetism has been rigorously studied theoretically6-9 but has remained unattainable in experiments. We load the plaquette with three electrons and demonstrate the predicted emergence of spontaneous ferromagnetic correlations through pairwise measurements of spin. We find that the ferromagnetic ground state is remarkably robust to engineered disorder in the on-site potentials and we can induce a transition to the low-spin state by changing the plaquette topology to an open chain. This demonstration of Nagaoka ferromagnetism highlights that quantum simulators can be used to study physical phenomena that have not yet been observed in any experimental system. The work also constitutes an important step towards large-scale quantum dot simulators of correlated electron systems.

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The σ1 receptor is an integral membrane protein that shares no homology with other receptor systems, has no unequivocally identified natural ligands, but appears to play critical roles in a wide variety of cell functions. While the number of reports of the possible functions of the σ1 receptor is increasing, almost no information about the three-dimensional structure of the receptor and/or possible modes of interaction of the σ1 protein with its ligands have been described. Here we performed an in vitro/in silico investigation to analyze the molecular interactions of the σ1 receptor with its prototypical agonist (+)-pentazocine. Accordingly, 23 mutant σ1 isoforms were generated, and their interactions with (+)-pentazocine were determined experimentally. All direct and/or indirect effects exerted by the mutant residues on the receptor-agonist interactions were reproduced and rationalized in silico, thus shining new light on the three-dimensional structure of the σ1 receptor and its ligand binding site.

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It is widely accepted that sigma (σ) receptors represent a new and different avenue in the possible pharmacological treatment of cancer and several brain-related disorders. Of the two different σ receptor types the σ1 receptors are assumed to be of major impact for brain diseases. Molecular imaging of brain σ1 receptors with positron emission tomography (PET) or single photon emission computed tomography (SPECT) may provide a significant contribution to the understanding of the cross-talk between σ1 receptors and inter- and intracellular signalling systems. New insights into these functional interrelationships will allow a better diagnosis of brain and cancerous diseases and direct a rational development of new therapeutic concepts.

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σ Receptor ligands are attracting interest as possible anti-cancer agents because of their ability to induce cell death by different mechanisms. In this study we investigated the cytotoxic effects of 12 recently developed σ-receptor ligands in a panel of eight different human tumor cell lines by either the crystal violet or MTT assays. The results show that σ ligands have broad cytotoxic activity on a number of human cancer cell lines with IC50 values in the low µM range. In addition, apoptosis was observed by the annexin-V/PI double staining method when RPMI 8226 human multiple myeloma cells were treated with a representative σ ligand, (R)-2b. Combination of (R)-2b with melphalan led to a higher apoptotic rate than with the drug alone. Likewise, combined treatment of (R)-2b with the known high affinity σ2-agonist PB28 showed an additive effect on the induction of apoptosis in the RPMI 8226 line. In contrast, combinations of (R)-2b with the known σ1-antagonist haloperidol lead to a significant reduction in the cytotoxic activity of (R)-2b. These results support the idea that (R)-2b acts as a σ-agonist to cause the death of RPMI 8226 cells.

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We consider dipolar interactions between heteronuclear molecules in a low-dimensional setup consisting of two one-dimensional tubes. We demonstrate that attraction between molecules in different tubes can overcome intratube repulsion and complexes with several molecules in the same tube are stable. In situ detection schemes of the few-body complexes are proposed. We discuss extensions to many tubes and layers, and outline the implications on many-body physics.

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We study a balanced two-component system of ultracold fermions in one dimension with attractive interactions and subject to a spin-dependent optical lattice potential of opposite sign for the two components. We find states with different types of modulated pairing order parameters which are conceptually similar to π phases discussed for superconductor-ferromagnet heterostructures. Increasing the lattice depth induces sharp transitions between states of different parity. While the origin of the order parameter oscillations is similar to the Fulde-Ferrel-Larkin-Ovchinnikov phase for paired states with spin imbalance, the current system is intrinsically stable to phase separation. We discuss experimental requirements for creating and probing these novel phases.

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We analyze interaction effects on boundary states of single layer graphene. Near a half filled band, both short- and long-ranged interactions lead to a fully spin-polarized configuration. In addition, the band of boundary states acquires a finite dispersion as a function of the momentum parallel to the edge, induced by the interactions. Away from half filling the wave function develops charge correlations similar to those in a Wigner crystal, and the spin strongly alternates with the occupation of the boundary states. For certain fillings the ground state has a finite linear momentum, leading to the formation of persistent currents.

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We report the investigation of electronic excitations in InGaAs self-assembled quantum dots using resonant inelastic light scattering. The dots can be charged via a gate by N=1, em leader,6 electrons. We observe excitations, which are identified as transitions of electrons, predominantly from the s to the p shell (s-p transitions) of the quasiatoms. We find that the s-p transition energy decreases and the observed band broadens, when the p shell is filled with 1 to 4 electrons. By a theoretical model, which takes into account the full Coulomb interaction in the few-electron artificial atom, we can confirm the experimental results to be an effect of the Coulomb interaction in the quantum dot.

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Starting with methyl 4,6-O-benzylidene-alpha-D-glucopyranoside (4), an optimized procedure is reported for preparation of the bromide 7, which is transformed into the N-acylated heptopyranosamine 9. After introduction of an axially positioned azido moiety in position 3 intramolecular N/O-acetal formation succeeds to provide the morphan analogue 17. In receptor binding studies with radioligands the amines 18b-18d reveal higher affinity for mu-receptors than for kappa-receptors. The most mu-active compound 18b (Ki = 14 nM) contains two aryl substituents, which presumably may occupy both aryl binding sites of mu-receptors.

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Analogues of the kappa-receptor agonist methyl (R)-4-(3,4-dichlorophenylacetyl)-3-(pyrrolidin-1-ylmethyl)piperazine-1-carboxylate (GR-89,696, 6) bearing an additional methyl substituent in the side chain are synthesized and evaluated for their kappa-receptor affinity and selectivity. A key step in the synthesis is the stereoselective reductive amination of the ketones 9, 18, and 19 with pyrrolidine and NaBH(3)CN, which succeeds only in the presence of the Lewis acid Ti(OiPr)(4). Whereas the BOC-substituted ketone 9 affords the unlike and like diastereomers of 10 in a ratio of 70:30, the diastereoselectivity during the reductive amination of the butyl and phenyl substituted ketones 18 and 19 is enhanced to 85:15 (butyl derivative) and >95:<5 (phenyl derivative) in favor of the unlike diastereomers. In receptor binding studies using the radioligand [(3)H]U-69,593 the (S,S)-configured methyl carbamate (S,S)-14 reveals the highest kappa-receptor affinity (K(i) = 0.31 nM) within this series, even exceeding the lead kappa-agonist 6 (GR-89,696). A slightly reduced kappa-receptor affinity is observed with the propionamide (S,S)-13 (K(i) = 0.67 nM). The kappa-receptor affinity of piperazines with acyl or alkoxycarbonyl residues at both nitrogen atoms (11, 13, 14) decreases in the order (S,S) > (R,R) > (S,R) > (R,S). The methyl carbamate (S,S)-14 discloses a unique activity profile also binding at mu-receptors in the subnanomolar range (K(i) = 0.36 nM). In a functional assay, i.e., by measuring acetylcholine release in rabbit hippocampus slices, the agonistic effects of the methyl carbamate (S,S)-14 and the propionamide (S,S)-13 are demonstrated. Only weak kappa- and mu-receptor affinities are found with the butyl- and phenyl-substituted piperazines 22 and 23. However, considerable sigma(1)-receptor affinity is determined for the enantiomeric, unlike-configured butyl derivatives (R,S)-22 and (S,R)-22 with K(i)-values of 40.2 nM and 81.0 nM, respectively.

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Stereoselective synthesis of all four stereoisomers of methylated analogues 8 of the kappa-receptor agonist GR-89.696 is presented. Starting with orthogonally protected piperazine derivatives (R,R)-4 and (S,S)-4, the reaction sequence involves oxidation, reductive amination and modification of the piperazine nitrogen protective groups. The configuration of the stereocentre in alpha-position to the pyrrolidine moiety is determined by X-ray structure analysis of (R,S)-8. In receptor-binding studies with the radioligand U-69.593, the stereoisomer with (S)-configuration at both stereogenic centres (S,S)-8 displayed the highest kappa-receptor affinity with a K(i)-value of 0.67 nM.

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[formula: see text] Starting with the proteinogenic amino acid (S)-glutamate, a general method for the synthesis of 3-(piperazin-2-yl)propionic acid esters 7 with various substituents at N-4 of the piperazine ring system is presented. An intramolecular ester condensation of 7 is the key step in the formation of the 6,8-diazabicyclo[3.2.2]nonane derivatives 8-10, which are of interest as conformationally restricted piperazines.

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The key steps in the stereoselective synthesis of the tricyclic aminomethyl derivatives 19 and 20 and the aminoethyl substituted 1,3-dioxanes 24 and 25 are nucleophilic addition of aryllithium intermediates to the nitroalkene 13, intramolecular transacetalization of the addition products 15 and 16 (only for the tricyclic derivatives 19 and 20) and subsequent reduction of the nitro group. The affinities of the secondary and tertiary amines 19c,d, 20c,d, 24c,d, and 25c,d for the ion channel binding site of the NMDA receptor, for mu-, kappa-, and sigma-receptors have been investigated. In the group of tricyclic compounds only 19d shows remarkable sigma-receptor affinity (Ki = 21.6/1.10 microM). In the 1,3-dioxane series the moderate mu- (Ki = 27.8 microM) and kappa-receptor affinity (Ki = 36 microM) as well as the high sigma-receptor affinity (Ki = 3.3 microM) of the (S,S,S)-configurated methylamine 24c should be emphasized. The pentan-1-ol 26, the side product isolated during the synthesis of 24c, is of particular interest because of its considerable affinity to mu- (Ki = 16.0 microM), kappa- (Ki = 2.8 microM), and sigma-receptors (Ki = 14.5/1.26 microM). The biphasic competition curves obtained during sigma-receptor binding studies of 19d and 26 (two Ki values) may be explained by different interaction with sigma-receptor subtypes.

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The key step in the synthesis of the pharmacologically interesting 1-phenyltetrahydro-3-benzazepine skeleton is the Michael addition of (2-lithiophenyl)acetaldehyde acetals, which are generated in situ upon treatment of the bromo acetals 5a,b with n-butyllithium, to beta-nitrostyrene (6). The reductive ring closure of the nitro acetals 7a,b succeeded with zinc dust and hydrochloric acid to give the 3-benzazepines 11a,b in good yields. The unsubstituted 3-benzazepine 11a showed a considerable affinity for the phencyclidine binding site of the NMDA receptor (Ki = 6.41 microM), whereas donor substituents in the aryl moiety (11b,c) reduce the affinity for the NMDA receptor.

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The enantiomerically pure amines (+)-5, (-)-9, (+)-11 and (+)-12 are stereoselectively prepared by reductive amination of the ketone (-)-4 [-->(+)-5], LiAlH4 reduction of the oxime (-)-7 followed by reductive methylation [-->(-)-9], SN2-substitution of the benzenesulfonate 10 [-->(+)-11] and reductive methylation of (+)-11 [-->(+)-12]. In the same way the racemic amines (+/-)-5, (+/-)-9, (+/-)-11 and (+/-)-12 are accessible starting from the racemic ketone (+/-)-4. Kinetic resolution of the racemic ketone (+/-)-4 with baker's yeast leads to the dextrorotatory ketone (+)-4 (86% ec), which is transformed via the methanesulfonate 16 into the tricyclic amines (-)-11 and (+)-17. Weak sedative effects are observed after application of the amines (+)-5, (+/-)-5, 0-9, (+/-)-9(+)-12, and (+/-)-12 to mice. Strong sedation is caused by (+/-)-11 with the dextrorotatory enantiomer (+/-)-11 being more effective than the levorotatory enantiomer (-)-11.

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Mitsunobu inversion of the (S)-configurated lactate (S)-7, which is prepared in four steps starting from (S)-tyrosine, leads to the (R)-configurated lactate (R)-7. The key step in the transformation of the enantiomeric lactates (S)-7 and (R)-7 into the benzomorphan analogous tricycles (R,S)-16a,b, (S,R)-16a,b, (S,S)-22, and (R,R)-22 is an intramolecular Oxa-Pictet-Spengler reaction: The amides (S)-13, (R)-13, (S)-19 and (R)-19, in which the carbonyl moiety-masked as an acetal-is linked to the 2-phenylethanol moiety, are cyclized to give the tricyclic amides (R,S)-15, (S,R)-15, (S,S)-21, and (R,R)-21, respectively. In a concentration of 100 microM both enantiomers of 16a, 16b, and 22 are not able to compete with 3H-(+)-MK 801 for the phencyclidine binding sites of NMDA receptors. In vivo, only (R,S)-16b and (S,S)-22 exhibit weak sedative and analgesic activity.

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This paper deals with the synthesis and psychopharmacological effects of variations of the sedative and analgesic tricyclic amines 3a and 3b: Starting with the homochiral ketone 4 the amines 5 (primary amino group in equatorial position), 7 (axially oriented dimethylamino group), 9 (additional phenyl residue in position 7), 13b, and 14b (equatorially and axially arranged dimethylaminomethyl group) and 23 and 24 (axial amino group shifted to position 9) are prepared. BBr3 cleaves the phenolic ethers of the secondary amine (+/-)-3a to yield the aminodiphenol (+/-)-10. -Keeping mice under observation for behavioral anomalies (Irwin screen) and analgesic activity (writhing test) shows, that the amines 5, 7, 9, (+/-)-10, 13b, 14b, and 23 do not reach the sedative and analgesic effects of the amines 3a and 3b, described by us.

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The bromoacetals 5a and 5b react with n-butyllithium and the piperidone 7 to yield the hydroxyacetals 8b and 8c, respectively. Cyclization of 8b and 8c followed by acid hydrolysis affords the spirocyclic hemiacetals 10b and 10c which are oxidized by PCC to give the spirocyclic prodine analogues 4b and 4c. The corresponding spirocyclic pethidine derivative 2 is prepared by alkylation of the 2-benzopyran-3-one 16 with N-Lost (17). In the mouse writhing test the spiropethidine 2 is not analgesic active up to a dose of 20 mg/kg body weight (bw). In the spirocyclic prodine series the methylated lactone 4c is the most active analgesic with an ED50-value (ED50 = 9.2 mg/kg bw) in the range of the ED50-value of tramadol.

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Under acidic conditions the secondary amines 10a and 10b, the primary amine 15, the amide 17a, and the urethane 17b were cyclized to yield the 2,6-epoxy-3-benzazocines 11a, 11b, 16, 18a and 18b, respectively. Ring closure of the inverse amide 5a, however, failed to give the tricyclic N/O-acetal 6. With LiAlH4 the epoxy bridge of the urethane 18b was opened to afford the bicyclic 3-benzazocine 20. While the N-(2-methoxyethyl) derivative 11b did not influence the behaviour of mice, the N-methyl derivative 11a showed strong central effects.

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