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Quasiparticle amplitudes corresponding to side by side phase separated 133 Cs-87 Rb TBEC at zero temperature. (a)-(d) show quasiparticle amplitudes corresponding to NG mode for each of the species.(e)-(h) show those for interface mode for each species. (i)-(l) describe those corresponding to the Kohn mode for each of the species. Subscript indexes 1 and 2 refer to species 1 and 2 respectively. us and vs are in units of a −1 osc and spatial coordinates x and y are in units of aosc. 

Quasiparticle amplitudes corresponding to side by side phase separated 133 Cs-87 Rb TBEC at zero temperature. (a)-(d) show quasiparticle amplitudes corresponding to NG mode for each of the species.(e)-(h) show those for interface mode for each species. (i)-(l) describe those corresponding to the Kohn mode for each of the species. Subscript indexes 1 and 2 refer to species 1 and 2 respectively. us and vs are in units of a −1 osc and spatial coordinates x and y are in units of aosc. 

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We develop a FORTRAN code to compute fluctuations in atomic condensates (FACt) by solving the Bogoliubov-de Gennes (BdG) equations for two component Bose-Einstein condensate (TBEC) in quasi two dimensions. The BdG equations are recast as matrix equations and solved self consistently. The code is suitable for handling quantum fluctuations as well as...

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... Bogoliubov quasi particle amplitudes corresponding to low energy modes are shown in Fig.2, 3 and 4 for miscible, side-by-side and shell structured TBEC respec- tively. The quasiparticle amplitudes of the selected low-energy modes in the miscible do- main obtained with a CsRb = 100a 0 are shown in Fig. 2. The images in Fig.2 (a)-(d) correspond to the slosh mode of the system. To obtain the quasiparticle amplitudes, we plot column 3, 4, 5 and 6 of file uv005.dat. In Fig. 2(e)-(h), the quasiparticle ampli- tudes from the file uv010.dat are shown, and these correspond to quadrupole mode of the system. And, the Kohn modes, from the data in the file uv013.dat, are shown in Fig.2(i)-(l). Here, the numerical value 013 in file name uv013.dat indicates that it is the 13th excited state. For each of the quasiparticle amplitudes the corresponding energies, taken from the output file eigenvalue.dat, are given in the bottom left corner. For the case of side-by-side immiscible phase, with a CsRb = 220a 0 , the quasipar- ticle amplitudes of low-lying modes are shown in Fig. 3. The images in Fig.3 (a)-(d) correspond to the NG modes of the system which in general resemble n ic , and are based on the data in the output file uv005.dat. Due to the rotational symmetry breaking associated with the miscible to side-by-side immiscible phase transition, each species has two additional NG modes. The Fig.3(e)-(h) show the quasiparticle amplitudes from uv009.dat, and these correspond to interface mode of the system. In the immiscible domain the interface modes, as the name suggests, are localized at the interface of the two species. The Kohn modes of the system are shown in Fig. 3(i)-(l) and correspond to the data in uv018.dat. For shell structured TBEC, the quasiparticle amplitudes corresponding to NG modes, quadrupole modes and Kohn modes are shown in Fig.4(a)-(d), (e)-(h) and (i)-(l) respec- ...
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... Bogoliubov quasi particle amplitudes corresponding to low energy modes are shown in Fig.2, 3 and 4 for miscible, side-by-side and shell structured TBEC respec- tively. The quasiparticle amplitudes of the selected low-energy modes in the miscible do- main obtained with a CsRb = 100a 0 are shown in Fig. 2. The images in Fig.2 (a)-(d) correspond to the slosh mode of the system. To obtain the quasiparticle amplitudes, we plot column 3, 4, 5 and 6 of file uv005.dat. In Fig. 2(e)-(h), the quasiparticle ampli- tudes from the file uv010.dat are shown, and these correspond to quadrupole mode of the system. And, the Kohn modes, from the data in the file uv013.dat, are shown in Fig.2(i)-(l). Here, the numerical value 013 in file name uv013.dat indicates that it is the 13th excited state. For each of the quasiparticle amplitudes the corresponding energies, taken from the output file eigenvalue.dat, are given in the bottom left corner. For the case of side-by-side immiscible phase, with a CsRb = 220a 0 , the quasipar- ticle amplitudes of low-lying modes are shown in Fig. 3. The images in Fig.3 (a)-(d) correspond to the NG modes of the system which in general resemble n ic , and are based on the data in the output file uv005.dat. Due to the rotational symmetry breaking associated with the miscible to side-by-side immiscible phase transition, each species has two additional NG modes. The Fig.3(e)-(h) show the quasiparticle amplitudes from uv009.dat, and these correspond to interface mode of the system. In the immiscible domain the interface modes, as the name suggests, are localized at the interface of the two species. The Kohn modes of the system are shown in Fig. 3(i)-(l) and correspond to the data in uv018.dat. For shell structured TBEC, the quasiparticle amplitudes corresponding to NG modes, quadrupole modes and Kohn modes are shown in Fig.4(a)-(d), (e)-(h) and (i)-(l) respec- ...
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... Bogoliubov quasi particle amplitudes corresponding to low energy modes are shown in Fig.2, 3 and 4 for miscible, side-by-side and shell structured TBEC respec- tively. The quasiparticle amplitudes of the selected low-energy modes in the miscible do- main obtained with a CsRb = 100a 0 are shown in Fig. 2. The images in Fig.2 (a)-(d) correspond to the slosh mode of the system. To obtain the quasiparticle amplitudes, we plot column 3, 4, 5 and 6 of file uv005.dat. In Fig. 2(e)-(h), the quasiparticle ampli- tudes from the file uv010.dat are shown, and these correspond to quadrupole mode of the system. And, the Kohn modes, from the data in the file uv013.dat, are shown in Fig.2(i)-(l). Here, the numerical value 013 in file name uv013.dat indicates that it is the 13th excited state. For each of the quasiparticle amplitudes the corresponding energies, taken from the output file eigenvalue.dat, are given in the bottom left corner. For the case of side-by-side immiscible phase, with a CsRb = 220a 0 , the quasipar- ticle amplitudes of low-lying modes are shown in Fig. 3. The images in Fig.3 (a)-(d) correspond to the NG modes of the system which in general resemble n ic , and are based on the data in the output file uv005.dat. Due to the rotational symmetry breaking associated with the miscible to side-by-side immiscible phase transition, each species has two additional NG modes. The Fig.3(e)-(h) show the quasiparticle amplitudes from uv009.dat, and these correspond to interface mode of the system. In the immiscible domain the interface modes, as the name suggests, are localized at the interface of the two species. The Kohn modes of the system are shown in Fig. 3(i)-(l) and correspond to the data in uv018.dat. For shell structured TBEC, the quasiparticle amplitudes corresponding to NG modes, quadrupole modes and Kohn modes are shown in Fig.4(a)-(d), (e)-(h) and (i)-(l) respec- ...
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... Bogoliubov quasi particle amplitudes corresponding to low energy modes are shown in Fig.2, 3 and 4 for miscible, side-by-side and shell structured TBEC respec- tively. The quasiparticle amplitudes of the selected low-energy modes in the miscible do- main obtained with a CsRb = 100a 0 are shown in Fig. 2. The images in Fig.2 (a)-(d) correspond to the slosh mode of the system. To obtain the quasiparticle amplitudes, we plot column 3, 4, 5 and 6 of file uv005.dat. In Fig. 2(e)-(h), the quasiparticle ampli- tudes from the file uv010.dat are shown, and these correspond to quadrupole mode of the system. And, the Kohn modes, from the data in the file uv013.dat, are shown in Fig.2(i)-(l). Here, the numerical value 013 in file name uv013.dat indicates that it is the 13th excited state. For each of the quasiparticle amplitudes the corresponding energies, taken from the output file eigenvalue.dat, are given in the bottom left corner. For the case of side-by-side immiscible phase, with a CsRb = 220a 0 , the quasipar- ticle amplitudes of low-lying modes are shown in Fig. 3. The images in Fig.3 (a)-(d) correspond to the NG modes of the system which in general resemble n ic , and are based on the data in the output file uv005.dat. Due to the rotational symmetry breaking associated with the miscible to side-by-side immiscible phase transition, each species has two additional NG modes. The Fig.3(e)-(h) show the quasiparticle amplitudes from uv009.dat, and these correspond to interface mode of the system. In the immiscible domain the interface modes, as the name suggests, are localized at the interface of the two species. The Kohn modes of the system are shown in Fig. 3(i)-(l) and correspond to the data in uv018.dat. For shell structured TBEC, the quasiparticle amplitudes corresponding to NG modes, quadrupole modes and Kohn modes are shown in Fig.4(a)-(d), (e)-(h) and (i)-(l) respec- ...
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... Bogoliubov quasi particle amplitudes corresponding to low energy modes are shown in Fig.2, 3 and 4 for miscible, side-by-side and shell structured TBEC respec- tively. The quasiparticle amplitudes of the selected low-energy modes in the miscible do- main obtained with a CsRb = 100a 0 are shown in Fig. 2. The images in Fig.2 (a)-(d) correspond to the slosh mode of the system. To obtain the quasiparticle amplitudes, we plot column 3, 4, 5 and 6 of file uv005.dat. In Fig. 2(e)-(h), the quasiparticle ampli- tudes from the file uv010.dat are shown, and these correspond to quadrupole mode of the system. And, the Kohn modes, from the data in the file uv013.dat, are shown in Fig.2(i)-(l). Here, the numerical value 013 in file name uv013.dat indicates that it is the 13th excited state. For each of the quasiparticle amplitudes the corresponding energies, taken from the output file eigenvalue.dat, are given in the bottom left corner. For the case of side-by-side immiscible phase, with a CsRb = 220a 0 , the quasipar- ticle amplitudes of low-lying modes are shown in Fig. 3. The images in Fig.3 (a)-(d) correspond to the NG modes of the system which in general resemble n ic , and are based on the data in the output file uv005.dat. Due to the rotational symmetry breaking associated with the miscible to side-by-side immiscible phase transition, each species has two additional NG modes. The Fig.3(e)-(h) show the quasiparticle amplitudes from uv009.dat, and these correspond to interface mode of the system. In the immiscible domain the interface modes, as the name suggests, are localized at the interface of the two species. The Kohn modes of the system are shown in Fig. 3(i)-(l) and correspond to the data in uv018.dat. For shell structured TBEC, the quasiparticle amplitudes corresponding to NG modes, quadrupole modes and Kohn modes are shown in Fig.4(a)-(d), (e)-(h) and (i)-(l) respec- ...
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... Bogoliubov quasi particle amplitudes corresponding to low energy modes are shown in Fig.2, 3 and 4 for miscible, side-by-side and shell structured TBEC respec- tively. The quasiparticle amplitudes of the selected low-energy modes in the miscible do- main obtained with a CsRb = 100a 0 are shown in Fig. 2. The images in Fig.2 (a)-(d) correspond to the slosh mode of the system. To obtain the quasiparticle amplitudes, we plot column 3, 4, 5 and 6 of file uv005.dat. In Fig. 2(e)-(h), the quasiparticle ampli- tudes from the file uv010.dat are shown, and these correspond to quadrupole mode of the system. And, the Kohn modes, from the data in the file uv013.dat, are shown in Fig.2(i)-(l). Here, the numerical value 013 in file name uv013.dat indicates that it is the 13th excited state. For each of the quasiparticle amplitudes the corresponding energies, taken from the output file eigenvalue.dat, are given in the bottom left corner. For the case of side-by-side immiscible phase, with a CsRb = 220a 0 , the quasipar- ticle amplitudes of low-lying modes are shown in Fig. 3. The images in Fig.3 (a)-(d) correspond to the NG modes of the system which in general resemble n ic , and are based on the data in the output file uv005.dat. Due to the rotational symmetry breaking associated with the miscible to side-by-side immiscible phase transition, each species has two additional NG modes. The Fig.3(e)-(h) show the quasiparticle amplitudes from uv009.dat, and these correspond to interface mode of the system. In the immiscible domain the interface modes, as the name suggests, are localized at the interface of the two species. The Kohn modes of the system are shown in Fig. 3(i)-(l) and correspond to the data in uv018.dat. For shell structured TBEC, the quasiparticle amplitudes corresponding to NG modes, quadrupole modes and Kohn modes are shown in Fig.4(a)-(d), (e)-(h) and (i)-(l) respec- ...
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... Bogoliubov quasi particle amplitudes corresponding to low energy modes are shown in Fig.2, 3 and 4 for miscible, side-by-side and shell structured TBEC respec- tively. The quasiparticle amplitudes of the selected low-energy modes in the miscible do- main obtained with a CsRb = 100a 0 are shown in Fig. 2. The images in Fig.2 (a)-(d) correspond to the slosh mode of the system. To obtain the quasiparticle amplitudes, we plot column 3, 4, 5 and 6 of file uv005.dat. In Fig. 2(e)-(h), the quasiparticle ampli- tudes from the file uv010.dat are shown, and these correspond to quadrupole mode of the system. And, the Kohn modes, from the data in the file uv013.dat, are shown in Fig.2(i)-(l). Here, the numerical value 013 in file name uv013.dat indicates that it is the 13th excited state. For each of the quasiparticle amplitudes the corresponding energies, taken from the output file eigenvalue.dat, are given in the bottom left corner. For the case of side-by-side immiscible phase, with a CsRb = 220a 0 , the quasipar- ticle amplitudes of low-lying modes are shown in Fig. 3. The images in Fig.3 (a)-(d) correspond to the NG modes of the system which in general resemble n ic , and are based on the data in the output file uv005.dat. Due to the rotational symmetry breaking associated with the miscible to side-by-side immiscible phase transition, each species has two additional NG modes. The Fig.3(e)-(h) show the quasiparticle amplitudes from uv009.dat, and these correspond to interface mode of the system. In the immiscible domain the interface modes, as the name suggests, are localized at the interface of the two species. The Kohn modes of the system are shown in Fig. 3(i)-(l) and correspond to the data in uv018.dat. For shell structured TBEC, the quasiparticle amplitudes corresponding to NG modes, quadrupole modes and Kohn modes are shown in Fig.4(a)-(d), (e)-(h) and (i)-(l) respec- ...
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... Bogoliubov quasi particle amplitudes corresponding to low energy modes are shown in Fig.2, 3 and 4 for miscible, side-by-side and shell structured TBEC respec- tively. The quasiparticle amplitudes of the selected low-energy modes in the miscible do- main obtained with a CsRb = 100a 0 are shown in Fig. 2. The images in Fig.2 (a)-(d) correspond to the slosh mode of the system. To obtain the quasiparticle amplitudes, we plot column 3, 4, 5 and 6 of file uv005.dat. In Fig. 2(e)-(h), the quasiparticle ampli- tudes from the file uv010.dat are shown, and these correspond to quadrupole mode of the system. And, the Kohn modes, from the data in the file uv013.dat, are shown in Fig.2(i)-(l). Here, the numerical value 013 in file name uv013.dat indicates that it is the 13th excited state. For each of the quasiparticle amplitudes the corresponding energies, taken from the output file eigenvalue.dat, are given in the bottom left corner. For the case of side-by-side immiscible phase, with a CsRb = 220a 0 , the quasipar- ticle amplitudes of low-lying modes are shown in Fig. 3. The images in Fig.3 (a)-(d) correspond to the NG modes of the system which in general resemble n ic , and are based on the data in the output file uv005.dat. Due to the rotational symmetry breaking associated with the miscible to side-by-side immiscible phase transition, each species has two additional NG modes. The Fig.3(e)-(h) show the quasiparticle amplitudes from uv009.dat, and these correspond to interface mode of the system. In the immiscible domain the interface modes, as the name suggests, are localized at the interface of the two species. The Kohn modes of the system are shown in Fig. 3(i)-(l) and correspond to the data in uv018.dat. For shell structured TBEC, the quasiparticle amplitudes corresponding to NG modes, quadrupole modes and Kohn modes are shown in Fig.4(a)-(d), (e)-(h) and (i)-(l) respec- ...

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