01772nas a2200169 4500008004100000245006700041210006600108260001300174490000800187520126400195100002001459700001901479700002301498700002501521700001901546856003701565 2020 eng d00aSignaling and Scrambling with Strongly Long-Range Interactions0 aSignaling and Scrambling with Strongly LongRange Interactions c7/8/20200 v1023 a

Strongly long-range interacting quantum systems---those with interactions decaying as a power-law 1/rα in the distance r on a D-dimensional lattice for α≤D---have received significant interest in recent years. They are present in leading experimental platforms for quantum computation and simulation, as well as in theoretical models of quantum information scrambling and fast entanglement creation. Since no notion of locality is expected in such systems, a general understanding of their dynamics is lacking. As a first step towards rectifying this problem, we prove two new Lieb-Robinson-type bounds that constrain the time for signaling and scrambling in strongly long-range interacting systems, for which no tight bounds were previously known. Our first bound applies to systems mappable to free-particle Hamiltonians with long-range hopping, and is saturable for α≤D/2. Our second bound pertains to generic long-range interacting spin Hamiltonians, and leads to a tight lower bound for the signaling time to extensive subsets of the system for all α<D. This result also lower-bounds the scrambling time, and suggests a path towards achieving a tight scrambling bound that can prove the long-standing fast scrambling conjecture. 

1 aGuo, Andrew, Y.1 aTran, Minh, C.1 aChilds, Andrew, M.1 aGorshkov, Alexey, V.1 aGong, Zhe-Xuan uhttps://arxiv.org/abs/1906.0266209346nas a2200181 4500008004100000245005500041210005400096260001500150520881500165100001908980700001608999700002309015700002409038700002009062700002009082700002509102856003709127 2016 eng d00aSteady-state superradiance with Rydberg polaritons0 aSteadystate superradiance with Rydberg polaritons c2016/11/023 a

A steady-state superradiant laser can be used to generate ultranarrow-linewidth light, and thus has important applications in the fields of quantum information and precision metrology. However, the light produced by such a laser is still essentially classical. Here, we show that the introduction of a Rydberg medium into a cavity containing atoms with a narrow optical transition can lead to the steady-state superradiant emission of ultranarrow-linewidth nonclassical light. The cavity nonlinearity induced by the Rydberg medium strongly modifies the superradiance threshold, and leads to a Mollow triplet in the cavity output spectrumthis behavior can be understood as an unusual analogue of resonance fluorescence. The cavity output spectrum has an extremely sharp central peak, with a linewidth that can be far narrower than that of a classical superradiant laser. This unprecedented spectral sharpness, together with the nonclassical nature of the light, could lead to new applications in which spectrally pure quantum light is desired.

1 aGong, Zhe-Xuan1 aXu, Minghui1 aFoss-Feig, Michael1 aThompson, James, K.1 aRey, Ana, Maria1 aHolland, Murray1 aGorshkov, Alexey, V. uhttps://arxiv.org/abs/1611.0079701472nas a2200217 4500008004100000245004000041210003900081260001500120300001100135490000800146520090500154100001701059700001901076700001801095700001701113700001601130700001601146700001601162700001701178856005901195 2012 eng d00aSpace-Time Crystals of Trapped Ions0 aSpaceTime Crystals of Trapped Ions c2012/10/19 a1630010 v1093 aSpontaneous symmetry breaking can lead to the formation of time crystals, as well as spatial crystals. Here we propose a space-time crystal of trapped ions and a method to realize it experimentally by confining ions in a ring-shaped trapping potential with a static magnetic field. The ions spontaneously form a spatial ring crystal due to Coulomb repulsion. This ion crystal can rotate persistently at the lowest quantum energy state in magnetic fields with fractional fluxes. The persistent rotation of trapped ions produces the temporal order, leading to the formation of a space-time crystal. We show that these space-time crystals are robust for direct experimental observation. We also study the effects of finite temperatures on the persistent rotation. The proposed space-time crystals of trapped ions provide a new dimension for exploring many-body physics and emerging properties of matter.1 aLi, Tongcang1 aGong, Zhe-Xuan1 aYin, Zhang-Qi1 aQuan, H., T.1 aYin, Xiaobo1 aZhang, Peng1 aDuan, L.-M.1 aZhang, Xiang uhttp://link.aps.org/doi/10.1103/PhysRevLett.109.16300101118nas a2200145 4500008004100000245008400041210006900125260001500194300001400209490000700223520066000230100001900890700001900909856004400928 2007 eng d00aSimple scheme for implementing the Deutsch-Jozsa algorithm in thermal cavity 0 aSimple scheme for implementing the DeutschJozsa algorithm in the c2007/01/05 a155 - 1610 v403 a We present a simple scheme to implement the Deutsch-Jozsa algorithm based on two-atom interaction in a thermal cavity. The photon-number-dependent parts in the evolution operator are canceled with the strong resonant classical field added. As a result, our scheme is immune to thermal field, and does not require the cavity to remain in the vacuum state throughout the procedure. Besides, large detuning between the atoms and the cavity is not necessary neither, leading to potential speed up of quantum operation. Finally, we show by numerical simulation that the proposed scheme is equal to demonstrate the Deutsch-Jozsa algorithm with high fidelity. 1 aYang, Wen-Xing1 aGong, Zhe-Xuan uhttp://arxiv.org/abs/quant-ph/0611225v2