Relevant bibliographies by topics / THERMOFIELD DOUBLE

Academic literature on the topic 'THERMOFIELD DOUBLE'

Author: Grafiati
Published: 10 March 2023

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Journal articles on the topic "THERMOFIELD DOUBLE"

1

Guo, Xiao-Kan. "Thermofield double states in group field theory." International Journal of Modern Physics A 36, no. 02 (January 20, 2021): 2150008. http://dx.doi.org/10.1142/s0217751x21500081.

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Group field theories are higher-rank generalizations of matrix/tensor models, and encode the simplicial geometries of quantum gravity. In this paper, we study the thermofield double states in group field theories. The starting point is the equilibrium Gibbs states in group field theory recently found by Kotecha and Oriti, based on which we construct the thermofield double state as a “thermal” vacuum respecting the Kubo–Martin–Schwinger condition. We work with the Weyl [Formula: see text]-algebra of group fields, and a particular type of thermofield double states with single type of symmetry is obtained from the squeezed states on this Weyl algebra. The thermofield double states, when viewed as states on the group field theory Fock vacuum, are condensate states at finite flow parameter [Formula: see text]. We suggest that the equilibrium flow parameters [Formula: see text] of this type of thermofield double states in the group field theory condensate pictures of black hole horizon and quantum cosmology are related to the inverse temperatures in gravitational thermodynamics.
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2

Jevicki, Antal, Xianlong Liu, Junggi Yoon, and Junjie Zheng. "Dynamical Symmetry and the Thermofield State at Large N." Universe 8, no. 2 (February 10, 2022): 114. http://dx.doi.org/10.3390/universe8020114.

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We discuss thermofield double QFT at real time, in the large N limit. First, we establish a (dynamical) symmetry, which we argue holds in general for the real-time portion of the Schwinger–Kelydish contour. At large N, this symmetry is seen to generate a one-parameter degeneracy of stationary collective solutions. The construction is explicitly worked out on an example of the O(N) vector QFT. As a nontrivial application, we describe the construction of the corresponding (large N) thermofield double state in real-time collective formalism.
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Zhu, D., S. Johri, N. M. Linke, K. A. Landsman, C. Huerta Alderete, N. H. Nguyen, A. Y. Matsuura, T. H. Hsieh, and C. Monroe. "Generation of thermofield double states and critical ground states with a quantum computer." Proceedings of the National Academy of Sciences 117, no. 41 (September 28, 2020): 25402–6. http://dx.doi.org/10.1073/pnas.2006337117.

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Finite-temperature phases of many-body quantum systems are fundamental to phenomena ranging from condensed-matter physics to cosmology, yet they are generally difficult to simulate. Using an ion trap quantum computer and protocols motivated by the quantum approximate optimization algorithm (QAOA), we generate nontrivial thermal quantum states of the transverse-field Ising model (TFIM) by preparing thermofield double states at a variety of temperatures. We also prepare the critical state of the TFIM at zero temperature using quantum–classical hybrid optimization. The entanglement structure of thermofield double and critical states plays a key role in the study of black holes, and our work simulates such nontrivial structures on a quantum computer. Moreover, we find that the variational quantum circuits exhibit noise thresholds above which the lowest-depth QAOA circuits provide the best results.
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4

Sundar, Bhuvanesh, Andreas Elben, Lata Kh Joshi, and Torsten V. Zache. "Proposal for measuring out-of-time-ordered correlators at finite temperature with coupled spin chains." New Journal of Physics 24, no. 2 (February 1, 2022): 023037. http://dx.doi.org/10.1088/1367-2630/ac5002.

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Abstract Information scrambling, which is the spread of local information through a system’s many-body degrees of freedom, is an intrinsic feature of many-body dynamics. In quantum systems, the out-of-time-ordered correlator (OTOC) quantifies information scrambling. Motivated by experiments that have measured the OTOC at infinite temperature and a theory proposal to measure the OTOC at finite temperature using the thermofield double state, we describe a protocol to measure the OTOC in a finite temperature spin chain that is realized approximately as one half of the ground state of two moderately-sized coupled spin chains. We consider a spin Hamiltonian with particle–hole symmetry, for which we show that the OTOC can be measured without needing sign-reversal of the Hamiltonian. We describe a protocol to mitigate errors in the estimated OTOC, arising from the finite approximation of the system to the thermofield double state. We show that our protocol is also robust to main sources of decoherence in experiments.
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5

del Campo, A., J. Molina-Vilaplana, L. F. Santos, and J. Sonner. "Decay of a thermofield-double state in chaotic quantum systems." European Physical Journal Special Topics 227, no. 3-4 (September 2018): 247–58. http://dx.doi.org/10.1140/epjst/e2018-00083-5.

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6

Narayan, K. "de Sitter entropy as entanglement." International Journal of Modern Physics D 28, no. 14 (October 2019): 1944019. http://dx.doi.org/10.1142/s021827181944019x.

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We describe connected timelike codim-2 extremal surfaces stretching between the future and the past boundaries in the static patch coordinatization of de Sitter space. These are analogous to rotated versions of certain surfaces in the AdS black hole. The existence of these surfaces via the [Formula: see text] framework suggests the speculation that [Formula: see text] is dual to two copies of ghost-like CFTs in a thermofield-double-type entangled state. In studies of entanglement in ghost systems and “ghost-spin” chains, we show that similar entangled states in two copies of ghost-spin ensembles always have positive norm and positive entanglement.
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7

Chenu, Aurélia, Javier Molina-Vilaplana, and Adolfo del Campo. "Work Statistics, Loschmidt Echo and Information Scrambling in Chaotic Quantum Systems." Quantum 3 (March 4, 2019): 127. http://dx.doi.org/10.22331/q-2019-03-04-127.

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Characterizing the work statistics of driven complex quantum systems is generally challenging because of the exponential growth with the system size of the number of transitions involved between different energy levels. We consider the quantum work distribution associated with the driving of chaotic quantum systems described by random matrix Hamiltonians and characterize exactly the work statistics associated with a sudden quench for arbitrary temperature and system size. Knowledge of the work statistics yields the Loschmidt echo dynamics of an entangled state between two copies of the system of interest, the thermofield double state. This echo dynamics is dictated by the spectral form factor. We discuss its relation to frame potentials and its use to assess information scrambling.
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8

Ghaffarnejad, Hossein, Mohammad Farsam, and Emad Yaraie. "Effects of Quintessence Dark Energy on the Action Growth and Butterfly Velocity." Advances in High Energy Physics 2020 (January 20, 2020): 1–7. http://dx.doi.org/10.1155/2020/9529356.

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In this work we are about to investigate the effects of quintessence dark energy on evolution of the computational complexity relating to the AdS/CFT correspondence. We use “complexity=action” conjecture for a charged AdS black hole surrounded by the dark energy at the quintessence regime. Then we try to find some conditions on the quintessence parameters where the Lloyd bound is satisfied in presence of affects of the quintessence dark energy on the complexity growth at the late time approximations. We compare late time approximation of the action growth by perturbed geometry in small limits of shift function. Actually we investigate the evµolution of complexity when thermofield double state on the boundaries is perturbed by local operator corresponding to a shock wave geometry as holographically. Furthermore we seek spread of local shock wave on the black hole horizon in presence of the quintessence dark energy.
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9

Anand, Namit, and Paolo Zanardi. "BROTOCs and Quantum Information Scrambling at Finite Temperature." Quantum 6 (June 23, 2022): 744. http://dx.doi.org/10.22331/q-2022-06-23-744.

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Out-of-time-ordered correlators (OTOCs) have been extensively studied in recent years as a diagnostic of quantum information scrambling. In this paper, we study quantum information-theoretic aspects of the regularized finite-temperature OTOC. We introduce analytical results for the bipartite regularized OTOC (BROTOC): the regularized OTOC averaged over random unitaries supported over a bipartition. We show that the BROTOC has several interesting properties, for example, it quantifies the purity of the associated thermofield double state and the operator purity of the analytically continued time-evolution operator. At infinite-temperature, it reduces to one minus the operator entanglement of the time-evolution operator. In the zero-temperature limit and for nondegenerate Hamiltonians, the BROTOC probes the groundstate entanglement. By computing long-time averages, we show that the equilibration value of the BROTOC is intimately related to eigenstate entanglement. Finally, we numerically study the equilibration value of the BROTOC for various physically relevant Hamiltonian models and comment on its ability to distinguish integrable and chaotic dynamics.
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10

Anand, Namit, and Paolo Zanardi. "BROTOCs and Quantum Information Scrambling at Finite Temperature." Quantum 6 (June 27, 2022): 746. http://dx.doi.org/10.22331/q-2022-06-27-746.

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Abstract:
Out-of-time-ordered correlators (OTOCs) have been extensively studied in recent years as a diagnostic of quantum information scrambling. In this paper, we study quantum information-theoretic aspects of the regularized finite-temperature OTOC. We introduce analytical results for the bipartite regularized OTOC (BROTOC): the regularized OTOC averaged over random unitaries supported over a bipartition. We show that the BROTOC has several interesting properties, for example, it quantifies the purity of the associated thermofield double state and the operator purity of the analytically continued time-evolution operator. At infinite-temperature, it reduces to one minus the operator entanglement of the time-evolution operator. In the zero-temperature limit and for nondegenerate Hamiltonians, the BROTOC probes the groundstate entanglement. By computing long-time averages, we show that the equilibration value of the BROTOC is intimately related to eigenstate entanglement. Finally, we numerically study the equilibration value of the BROTOC for various physically relevant Hamiltonian models and comment on its ability to distinguish integrable and chaotic dynamics.
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Dissertations / Theses on the topic "THERMOFIELD DOUBLE"

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BILLO, DAVIDE. "Holographic and Quantum Field Theory Complexity of rotating states." Doctoral thesis, 2022. http://hdl.handle.net/2158/1272730.

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The complexity of rotating thermofield double states (TFD) is studied adopting the AdS/CFT correspondence in two and three dimensional CFT, hence working in the dual spacetime geometries known as the rotating BTZ and the Kerr-AdS black holes. The circuit complexity is also explored in a Quantum Field Theory (QFT) toy-model without resorting to holographic techniques. Differences and analogies are particularly highlighted.
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