Dissipation-induced macroscopic entanglement in an open optical lattice

Kordas, G.; Wimberger, Sandro; Witthaut, Dirk

doi:10.1209/0295-5075/100/30007

Cited by 45 publications

(66 citation statements)

References 42 publications

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“…It turns out that the two contributions localized either at site 1 or 3 remain coherent [4]. As shown below, the atoms relax deterministically to a macroscopically entangled state of many atoms, reminiscent of the famous Schrödinger cat state (cf.…”

Section: Dissipation Induced Entanglementmentioning

confidence: 96%

“…As done in the appendix of ref. [4], for a separable quantum state one can show that E 1,3 ≤ 0, such that a value E 1,3 > 0 proves entanglement of the particles. 1,1 (solid lines), and (d) the entanglement parameter E1,2.…”

Section: Dissipation Induced Entanglementmentioning

confidence: 98%

“…In the presence of dissipation the dynamics is usually given by a master equation in Lindblad form [4,11,[13][14][15][16][17][18][19][20][21] …”

Section: Dissipative and Noisy Bose-hubbard Modelsmentioning

confidence: 99%

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Non‐equilibrium dynamics in dissipative Bose‐Hubbard chains

2015

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Open many-body quantum systems have recently gained renewed interest in the context of quantum information science and quantum transport with biological clusters and ultracold atomic gases. We present a series of results in diverse setups based on a Master equation approach to describe the dissipative dynamics of ultracold bosons in a one-dimensional lattice. We predict the creation of mesoscopic stable many-body structures in the lattice and study the non-equilibrium transport of neutral atoms in the regime of strong and weak interactions.

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Section: Dissipation Induced Entanglementmentioning

confidence: 96%

Section: Dissipation Induced Entanglementmentioning

confidence: 98%

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Non‐equilibrium dynamics in dissipative Bose‐Hubbard chains

2015

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“…In the future, studying the fluctuations around the steady states will be a tool to look at generalized dissipation fluctuations theorems for non-equilibrium systems [33]. The exploration of quantum phases with help of competing dissipation mechanisms [34], the quest for complex manybody dark states [13,14,[35][36][37] and the investigation of non-equilibrium phase transitions [38] make open system control a paradigm for future quantum research.…”

Section: Fig 3 (A)mentioning

confidence: 99%

Bistability in a Driven-Dissipative Superfluid

et al. 2016

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We experimentally study a driven-dissipative Josephson junction array, realized with a weakly interacting Bose Einstein condensate residing in a one-dimensional optical lattice. Engineered losses on one site act as a local dissipative process, while tunneling from the neighboring sites constitutes the driving force. We characterize the emerging steady-states of this atomtronic device. With increasing dissipation strength γ the system crosses from a superfluid state, characterized by a coherent Josephson current into the lossy site to a resistive state, characterized by an incoherent hopping transport. For intermediate values of γ, the system exhibits bistability, where a superfluid and a resistive branch coexist. We also study the relaxation dynamics towards the steady-state, where we find a critical slowing down, indicating the presence of a non-equilibrium phase transition.PACS numbers: 03.75. Lm, 74.40.Gh, 03.65.Yz, 42.50.Dv Non-equilibrium steady-states constitute fix points of the phase space dynamics of classical and quantum systems [1][2][3]. They emerge under the presence of a driving force and lie at the heart of transport phenomena such as heat conduction [4][5][6] or current flow [7][8][9]. They also naturally appear in open quantum systems [10,11] and are connected to the study of non-equilibrium thermodynamics and non-equilibrium quantum phase transitions [12]. It has been pointed out that engineering open quantum systems can induce a phase space dynamics which drives the quantum system in a pure state by solely dissipative means [13][14][15][16]. Controlling and understanding the non-equilibrium steady-states of an open many-body quantum system therefore offers new routes for quantum state engineering and out-of-equilibrium quantum dynamics. Here, we investigate the steady-states of a driven-dissipative Josephson junction array realized with a Bose-Einstein condensate in a one-dimensional optical lattice [17]. Varying the strength of the dissipation, the system can be tuned from superfluid to resistive transport. In between, it exhibits a region of bistability. The peculiar transport properties make such devices promising elements for complex atomtronic circuits. At the same time, they are an interesting candidate to study generic properties of an open quantum system. Our results manifest the high potential of open system control in ultracold quantum gases.Open quantum systems are characterized by the competition between the intrinsic unitary dynamics, governed by the Hamilton operator H, and the coupling to the environment, which induces non-unitary time evolution and quantum jumps, described by jump operators (â i ,â i † ) which act on the system with rates γ i [10]. The time evolution of the density matrix ρ in Markov approximation is then described by a master equation in Lindblad form [18]:FIG. 1. Schematics of the experiment. One site of an array of superfluids is subject to an incoherent local loss process with rate γ. The coherent tunneling coupling between the reservoir sites is given b...

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“…In this context a quantum walk of interacting atoms in an optical lattice might be very useful as we shall explore. For a lattice setup this type of scheme is important as it enables one to avoid the necessity of measurement based schemes [26,27] (which are still challenging in current optical lattice experiments with few particles), time-dependent external potentials [28], engineered bath based schemes [29] or ring lattices [30,31]. From the theoretical point of view, optical lattice systems in a low filling limit are modeled by the Bose-Hubbard Hamiltonian, which contains a hopping term between neighboring sites and an onsite interaction.…”

Section: Introductionmentioning

confidence: 99%

NOON states via a quantum walk of bound particles

et al. 2017

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Tight-binding lattice models allow the creation of bound composite objects which, in the strong-interacting regime, are protected against dissociation. We show that a local impurity in the lattice potential can generate a coherent split of an incoming bound particle wave-packet which consequently produces a NOON state between the endpoints. This is non trivial because when finite lattices are involved, edge-localization effects make their use for non-classical state generation and information transfer challenging. We derive an effective model to describe the propagation of bound particles in a Bose-Hubbard chain. We introduce local impurities in the lattice potential to inhibit localization effects and to split the propagating bound particle, thus enabling the generation of distant NOON states. We analyze how minimal engineering transfer schemes improve the transfer fidelity and we quantify the robustness to typical decoherence effects in optical lattice implementations. Our scheme potentially has an impact on quantum-enhanced atomic interferometry in a lattice.

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Dissipation-induced macroscopic entanglement in an open optical lattice

Cited by 45 publications

References 42 publications

Non‐equilibrium dynamics in dissipative Bose‐Hubbard chains

Non‐equilibrium dynamics in dissipative Bose‐Hubbard chains

Bistability in a Driven-Dissipative Superfluid

NOON states via a quantum walk of bound particles

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