Our method provides a way of exploring many-body phenomena on a programmable quantum simulator and could enable realizations of new quantum algorithms. In particular, we observe robust many-body dynamics corresponding to persistent oscillations of the order after a rapid quantum quench that results from a sudden transition across the phase boundary. Ta 2 NiSe 5, an excitonic insulator (EI) candidate, exists in a novel broken-symmetry phase below 327 K, characterized by robust exchange interaction and electron-lattice coupling. Within this model, we observe phase transitions into spatially ordered states that break various discrete symmetries, verify the high-fidelity preparation of these states and investigate the dynamics across the phase transition in large arrays of atoms. In lowelectron density materials, interactions can lead to highly correlated quantum states of matter. We realize a programmable Ising-type quantum spin model with tunable interactions and system sizes of up to 51 qubits. Here we demonstrate a method for creating controlled many-body quantum matter that combines deterministically prepared, reconfigurable arrays of individually trapped cold atoms with strong, coherent interactions enabled by excitation to Rydberg states. That is, a second-order DPT should disappear by preventing the occurrence of SSB. Inverse second-order coherence times 1 / τ c ( 2 ) (open symbols) and phase jump rates Γ PJ (solid symbols) for three different effective reservoirs M eff, of relative size s − 1.Controllable, coherent many-body systems can provide insights into the fundamental properties of quantum matter, enable the realization of new quantum phases and could ultimately lead to computational systems that outperform existing computers based on classical approaches. Dissipative phase transitions (DPTs) of second order are often connected with SSB, in close analogy with well-known thermal second-order PTs in closed quantum and classical systems. (a) Separation of time scales for first- and second-order coherence. (c) Experimental (circles) and theory (lines) spectra of the cavity emission show the saturation of thermal modes at the onset of condensation and, with the known critical photon number at the condensation threshold, allow us to determine the condensate mode population n ¯. Simultaneously, radiation transmitted through the second cavity mirror at the reverse side is used to record spectra of the photon gas. The nanowire current-phase relation is assumed linear, since the wires are much longer than the coherence length. For our nanowires C is much greater than the usual 2, which makes a qualitative di erence in the behavior of the SQUID. The resulting beat signal is detected on a photomultiplier tube (PMT). The utility of molecular electron spin qubits is limited by the phase coherence lifetime T2, which describes how long phase relations are retained between. critical phase, C, de ned as the phase di erence at which the supercurrent in the wire is the maximum. From the emission out of the dye-filled microresonator, the condensate mode is filtered, and after a polarizer overlapped with the laser reference. When the effective reservoir size M eff is large, grand canonical statistical conditions are fulfilled and the corresponding emission (right) exhibits photon bunching and random phase jumps following intensity drops. In physics, coherence expresses the potential for two waves to interfere.Two monochromatic beams from a single source always interfere.: 256 Physical sources are not strictly monochromatic: they may be partly coherent.Beams from different sources are mutually incoherent. (a) Representation of the statistical system (left), where dye molecules act as heat bath and particle reservoir for the photon gas. Moreover, the difference in the symmetry of the magnetoconductance under field reversal in both measurement configurations will be.
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