東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Linked to FindBook

Google Book

Amazon

博客來

Effective non-hermiticity and topology in markovian quadratic bosonic dynamics

Record Type:	Electronic resources : Monograph/item
Title/Author:	Effective non-hermiticity and topology in markovian quadratic bosonic dynamics/ by Vincent Paul Flynn.
Author:	Flynn, Vincent Paul.
Published:	Cham :Springer Nature Switzerland : : 2024.,
Description:	xxi, 238 p. :ill. (some col.), digital ;24 cm.
Notes:	"Doctoral thesis accepted by Dartmouth College, USA."
[NT 15003449]:	Preface -- 1 Introduction -- I Effective Non-Hermiticity in Closed Bosonic Systems -- 2 Background: Quadratic bosonic Hamiltonians -- 3 Dynamical stability phase transition -- 4 The role of pairing in dynamically stable QBHs -- 5 Obstructions to SPT-like physics in QBHs -- II Signs of genuine SPT Physics in Open Bosonic Systems -- 6 Background: Quadratic bosonic Lindbladians -- 7 Zero modes, Weyl symmetries, and QBL design -- 8 Signatures of SPT physics in 1D bulk-translationally invariant QBLs -- 9 The realm of possibilities -- 10 Summary and outlook -- A Spectra and pseudospectra of block-Toeplitz matrices and operators -- B Miscellaneous technical calculations.
Contained By:	Springer Nature eBook
Subject:	Bosons. -
Online resource:	https://doi.org/10.1007/978-3-031-52045-7
ISBN:	9783031520457

Effective non-hermiticity and topology in markovian quadratic bosonic dynamics
Flynn, Vincent Paul.

Effective non-hermiticity and topology in markovian quadratic bosonic dynamics[electronic resource] /by Vincent Paul Flynn. - Cham :Springer Nature Switzerland :2024. - xxi, 238 p. :ill. (some col.), digital ;24 cm. - Springer theses,2190-5061. - Springer theses..

"Doctoral thesis accepted by Dartmouth College, USA."

Preface -- 1 Introduction -- I Effective Non-Hermiticity in Closed Bosonic Systems -- 2 Background: Quadratic bosonic Hamiltonians -- 3 Dynamical stability phase transition -- 4 The role of pairing in dynamically stable QBHs -- 5 Obstructions to SPT-like physics in QBHs -- II Signs of genuine SPT Physics in Open Bosonic Systems -- 6 Background: Quadratic bosonic Lindbladians -- 7 Zero modes, Weyl symmetries, and QBL design -- 8 Signatures of SPT physics in 1D bulk-translationally invariant QBLs -- 9 The realm of possibilities -- 10 Summary and outlook -- A Spectra and pseudospectra of block-Toeplitz matrices and operators -- B Miscellaneous technical calculations.

This thesis provides an in-depth investigation of effective non-Hermiticity and topology in many-mode, non-interacting, bosonic systems. It also establishes the extent to which one must move beyond the Hamiltonian, closed-system setting, in order to uncover signatures of genuine symmetry-protected topological (SPT) physics in "free" (mean-field) bosons. While SPT phases of free fermionic matter and their associated zero-energy boundary-localized modes have been thoroughly explored, similar physics in free bosonic systems still remains elusive. No fermionic counterpart exists for the distinctive dynamical behavior that arises from the effective non-Hermiticity, intrinsic even at equilibrium, to bosonic Hamiltonians. Therefore, a much needed paradigm shift is required to address major conceptual roadblocks in the search for SPT bosonic phases. The analysis within develops, in particular, the notion of topological metastability in quadratic bosonic systems subject to Markovian dissipation. The resulting dynamical paradigm was found to be characterized by both a sharp separation between transient and asymptotic dynamics and non-trivial topological invariants. It also features long-lived boundary-localized "Majorana boson" and "Dirac boson" modes, which realize tight bosonic analogues to the edge modes characteristic of fermionic SPT phases. This comprehensive look into non-interacting bosonic systems breaks important new ground for re-imagining quantum phenomena beyond equilibrium, with novel applications in quantum science.

ISBN: 9783031520457

Standard No.: 10.1007/978-3-031-52045-7doiSubjects--Topical Terms:

710715
Bosons.

LC Class. No.: QC680

Dewey Class. No.: 530.1433

Effective non-hermiticity and topology in markovian quadratic bosonic dynamics
LDR:03337nmm a22003495a 4500 001 2370792
003 DE-He213
005 20240419091828.0
006 m d
007 cr nn 008maaau
008 241127s2024 sz s 0 eng d
020 $a 9783031520457 $q (electronic bk.)
020 $a 9783031520440 $q (paper)
024 7 $a 10.1007/978-3-031-52045-7 $2 doi
035 $a 978-3-031-52045-7
040 $a GP $c GP
041 0 $a eng
050 4 $a QC680
072 7 $a PHQ $2 bicssc
072 7 $a SCI074000 $2 bisacsh
072 7 $a PHQ $2 thema
082 0 4 $a 530.1433 $2 23
090 $a QC680 $b .F648 2024
100 1 $a Flynn, Vincent Paul. $3 3716372
245 1 0 $a Effective non-hermiticity and topology in markovian quadratic bosonic dynamics $h [electronic resource] / $c by Vincent Paul Flynn.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2024.
300 $a xxi, 238 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Springer theses, $x 2190-5061
500 $a "Doctoral thesis accepted by Dartmouth College, USA."
505 0 $a Preface -- 1 Introduction -- I Effective Non-Hermiticity in Closed Bosonic Systems -- 2 Background: Quadratic bosonic Hamiltonians -- 3 Dynamical stability phase transition -- 4 The role of pairing in dynamically stable QBHs -- 5 Obstructions to SPT-like physics in QBHs -- II Signs of genuine SPT Physics in Open Bosonic Systems -- 6 Background: Quadratic bosonic Lindbladians -- 7 Zero modes, Weyl symmetries, and QBL design -- 8 Signatures of SPT physics in 1D bulk-translationally invariant QBLs -- 9 The realm of possibilities -- 10 Summary and outlook -- A Spectra and pseudospectra of block-Toeplitz matrices and operators -- B Miscellaneous technical calculations.
520 $a This thesis provides an in-depth investigation of effective non-Hermiticity and topology in many-mode, non-interacting, bosonic systems. It also establishes the extent to which one must move beyond the Hamiltonian, closed-system setting, in order to uncover signatures of genuine symmetry-protected topological (SPT) physics in "free" (mean-field) bosons. While SPT phases of free fermionic matter and their associated zero-energy boundary-localized modes have been thoroughly explored, similar physics in free bosonic systems still remains elusive. No fermionic counterpart exists for the distinctive dynamical behavior that arises from the effective non-Hermiticity, intrinsic even at equilibrium, to bosonic Hamiltonians. Therefore, a much needed paradigm shift is required to address major conceptual roadblocks in the search for SPT bosonic phases. The analysis within develops, in particular, the notion of topological metastability in quadratic bosonic systems subject to Markovian dissipation. The resulting dynamical paradigm was found to be characterized by both a sharp separation between transient and asymptotic dynamics and non-trivial topological invariants. It also features long-lived boundary-localized "Majorana boson" and "Dirac boson" modes, which realize tight bosonic analogues to the edge modes characteristic of fermionic SPT phases. This comprehensive look into non-interacting bosonic systems breaks important new ground for re-imagining quantum phenomena beyond equilibrium, with novel applications in quantum science.
650 0 $a Bosons. $3 710715
650 0 $a Quantum electrodynamics. $3 519237
650 1 4 $a Quantum Electrodynamics, Relativistic and Many-body Calculations. $3 3593588
650 2 4 $a Quantum Fluids and Solids. $3 3601232
650 2 4 $a Elementary Particles, Quantum Field Theory. $3 894026
650 2 4 $a Mathematical Methods in Physics. $3 890898
650 2 4 $a Dynamical Systems. $3 3538746
650 2 4 $a Quantum Optics. $3 1066480
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Springer theses. $3 1314442
856 4 0 $u https://doi.org/10.1007/978-3-031-52045-7
950 $a Physics and Astronomy (SpringerNature-11651)