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We show that a non-Hermitian two coupled Sachdev-Ye-Kitaev (SYK) model can provide thermodynamic structure equivalent to Hermitian two coupled SYK model. The energy spectrum, the entanglement degree of the ground states and the low energy…

High Energy Physics - Theory · Physics 2022-11-21 Wenhe Cai , Sizheng Cao , Xian-Hui Ge , Masataka Matsumoto , Sang-Jin Sin

According to holography, entanglement is the building block of spacetime; therefore, drastic changes of entanglement will lead to interesting transitions in the dual spacetime. In this paper, we study the effect of projective measurements…

High Energy Physics - Theory · Physics 2023-03-01 Stefano Antonini , Brianna Grado-White , Shao-Kai Jian , Brian Swingle

We explore computationally tractable deformations of the SYK model. The deformed theories are described by the sum of two SYK Hamiltonians with differing numbers, $q$ and $\tilde{q}$, of interacting fermions. In the large $N$ limit,…

High Energy Physics - Theory · Physics 2023-12-14 Dionysios Anninos , Damián A. Galante , Sameer U. Sheorey

We perform the dynamical change of coordinates to derive a generalization of the trace relation and apply it to the non-linear Schr\"odinger model. After that, we work out the dimensional reduction of the bilinear $T\bar T$ operator and…

High Energy Physics - Theory · Physics 2022-01-26 Dmitriy Pavshinkin

We study Zamolodchikov's TT* deformation of two dimensional quantum field theories in a 't Hooft-like limit, in which we scale the number of degrees of freedom c to infinity and the deformation parameter t to zero, keeping their product t*c…

High Energy Physics - Theory · Physics 2018-07-04 Ofer Aharony , Talya Vaknin

In this paper, we develop a general effective theory for two copies of the Sachdev-Ye-Kitaev (SYK) model with a time-dependent bilinear coupling. For a quantum quench problem with an initial state of the thermofield double state, we show…

High Energy Physics - Theory · Physics 2021-04-28 Yuri D. Lensky , Xiao-Liang Qi

The construction of exactly-solvable models has recently been advanced by considering integrable $T\bar{T}$ deformations and related Hamiltonian deformations in quantum mechanics. We introduce a broader class of non-Hermitian Hamiltonian…

High Energy Physics - Theory · Physics 2023-01-18 Apollonas S. Matsoukas-Roubeas , Federico Roccati , Julien Cornelius , Zhenyu Xu , Aurelia Chenu , Adolfo del Campo

The Sachdev-Ye-Kitaev (SYK) model provides an uncommon example of a chaotic theory that can be analysed analytically. In the deep infrared limit, the original model has an emergent conformal (reparametrisation) symmetry that is broken both…

High Energy Physics - Theory · Physics 2019-10-23 Pranjal Nayak , Julian Sonner , Manuel Vielma

We suggest that the holographic principle, combined with recent technological advances in atomic, molecular, and optical physics, can lead to experimental studies of quantum gravity. As a specific example, we consider the Sachdev-Ye-Kitaev…

Quantum Gases · Physics 2017-09-07 Ippei Danshita , Masanori Hanada , Masaki Tezuka

Some generalizations of the Sachdev-Ye-Kitaev (SYK) model and different patterns of their reparametrization symmetry breaking are discussed. The analysis of such (pseudo)holographic systems relates their generalized one-dimensional…

High Energy Physics - Theory · Physics 2023-11-17 D. V. Khveshchenko

We study the $T\bar T$ deformation on multiquantum mechanical systems. By introducing dynamical coordinate transformation, we reformulate the one-dimensional $T\bar T$ deformation of generic quantum mechanical systems, which is consistent…

High Energy Physics - Theory · Physics 2022-08-29 Song He , Zhuo-Yu Xian

We consider Jackiw-Teitelboim gravity with a massless matter field and turn on bulk excitations leading to a nontrivial vev of the corresponding dual boundary operator. To leading order, we realize the corresponding deformation of…

High Energy Physics - Theory · Physics 2023-06-13 Dongsu Bak , Chanju Kim , Sang-Heon Yi

We study the properties of the double-scaled SYK (DSSYK) model under chord Hamiltonian deformations based on finite cutoff holography for general dilaton gravity theories with Dirichlet boundaries. The formalism immediately incorporates a…

High Energy Physics - Theory · Physics 2026-05-12 Sergio E. Aguilar-Gutierrez

In this paper, we present our study on the $T\bar{T}$-deformation of non-relativistic complex scalar field theory. We find the closed form of the deformed Lagrangian by using the perturbation and the method of characteristics. Furthermore…

High Energy Physics - Theory · Physics 2021-07-14 Bin Chen , Jue Hou , Jia Tian

We revisit $T\bar T$ deformations of $d=2$ theories with fermions with a view toward the quantization. As a simple illustration, we compute the deformed Dirac bracket for a Majorana doublet and confirm the known eigenvalue flows…

High Energy Physics - Theory · Physics 2021-08-18 Kyung-Sun Lee , Piljin Yi , Junggi Yoon

We investigate the proposed holographic duality between the TsT transformation of IIB string theory on AdS$_3\times {\cal N}$ with NS-NS flux and a single-trace $T\bar{T}$ deformation of the symmetric orbifold CFT. We present a…

High Energy Physics - Theory · Physics 2023-05-11 Wei Cui , Hongfei Shu , Wei Song , Juntao Wang

We study the out-of-equilibrium dynamics of a Sachdev-Ye-Kitaev (SYK) model, $N$ fermions with a $q$-body interaction of infinite range, coupled to a Markovian environment. Close to the infinite-temperature steady state, the real-time…

High Energy Physics - Theory · Physics 2023-05-05 Antonio M. García-García , Lucas Sá , Jacobus J. M. Verbaarschot , Jie Ping Zheng

We analyze noncommutative deformations of a higher dimensional anti-de Sitter-Einstein-Born-Infeld black hole. Two models based on noncommutative inspired distributions of mass and charge are discussed and their thermodynamical properties…

High Energy Physics - Theory · Physics 2016-07-01 Angélica González , Román Linares , Marco Maceda , Oscar Sánchez-Santos

Motivated by $T\bar T$, we introduce and study a wide class of solvable deformations of quantum-mechanical theories. These deformations map the Hamiltonian to a function of itself. We solve these theories by computing all finite-temperature…

High Energy Physics - Theory · Physics 2020-09-09 David J. Gross , Jorrit Kruthoff , Andrew Rolph , Edgar Shaghoulian

We demonstrate the presence of modular properties in partition functions of $T\bar{T}$ deformed conformal field theories. These properties are verified explicitly for the deformed free boson. The modular features facilitate a derivation of…

High Energy Physics - Theory · Physics 2018-08-22 Shouvik Datta , Yunfeng Jiang
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